{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## 第十章 用回归分析预测连续目标变量\n",
    "![](picture/简单线性回归.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [
    {
     "data": {
      "text/plain": "      CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD    TAX  \\\n0  0.00632  18.0   2.31     0  0.538  6.575  65.2  4.0900    1  296.0   \n1  0.02731   0.0   7.07     0  0.469  6.421  78.9  4.9671    2  242.0   \n2  0.02729   0.0   7.07     0  0.469  7.185  61.1  4.9671    2  242.0   \n3  0.03237   0.0   2.18     0  0.458  6.998  45.8  6.0622    3  222.0   \n4  0.06905   0.0   2.18     0  0.458  7.147  54.2  6.0622    3  222.0   \n\n   PTRATIO       B  LSTAT  MEDV  \n0     15.3  396.90   4.98  24.0  \n1     17.8  396.90   9.14  21.6  \n2     17.8  392.83   4.03  34.7  \n3     18.7  394.63   2.94  33.4  \n4     18.7  396.90   5.33  36.2  ",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>CRIM</th>\n      <th>ZN</th>\n      <th>INDUS</th>\n      <th>CHAS</th>\n      <th>NOX</th>\n      <th>RM</th>\n      <th>AGE</th>\n      <th>DIS</th>\n      <th>RAD</th>\n      <th>TAX</th>\n      <th>PTRATIO</th>\n      <th>B</th>\n      <th>LSTAT</th>\n      <th>MEDV</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0.00632</td>\n      <td>18.0</td>\n      <td>2.31</td>\n      <td>0</td>\n      <td>0.538</td>\n      <td>6.575</td>\n      <td>65.2</td>\n      <td>4.0900</td>\n      <td>1</td>\n      <td>296.0</td>\n      <td>15.3</td>\n      <td>396.90</td>\n      <td>4.98</td>\n      <td>24.0</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>0.02731</td>\n      <td>0.0</td>\n      <td>7.07</td>\n      <td>0</td>\n      <td>0.469</td>\n      <td>6.421</td>\n      <td>78.9</td>\n      <td>4.9671</td>\n      <td>2</td>\n      <td>242.0</td>\n      <td>17.8</td>\n      <td>396.90</td>\n      <td>9.14</td>\n      <td>21.6</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>0.02729</td>\n      <td>0.0</td>\n      <td>7.07</td>\n      <td>0</td>\n      <td>0.469</td>\n      <td>7.185</td>\n      <td>61.1</td>\n      <td>4.9671</td>\n      <td>2</td>\n      <td>242.0</td>\n      <td>17.8</td>\n      <td>392.83</td>\n      <td>4.03</td>\n      <td>34.7</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>0.03237</td>\n      <td>0.0</td>\n      <td>2.18</td>\n      <td>0</td>\n      <td>0.458</td>\n      <td>6.998</td>\n      <td>45.8</td>\n      <td>6.0622</td>\n      <td>3</td>\n      <td>222.0</td>\n      <td>18.7</td>\n      <td>394.63</td>\n      <td>2.94</td>\n      <td>33.4</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>0.06905</td>\n      <td>0.0</td>\n      <td>2.18</td>\n      <td>0</td>\n      <td>0.458</td>\n      <td>7.147</td>\n      <td>54.2</td>\n      <td>6.0622</td>\n      <td>3</td>\n      <td>222.0</td>\n      <td>18.7</td>\n      <td>396.90</td>\n      <td>5.33</td>\n      <td>36.2</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "df = pd.read_csv('https://raw.githubusercontent.com/rasbt/'\n",
    "                 'python-machine-learning-book-2nd-edition'\n",
    "                 '/master/code/ch10/housing.data.txt',\n",
    "                 header=None,\n",
    "                 sep='\\s+')\n",
    "\n",
    "df.columns = ['CRIM', 'ZN', 'INDUS', 'CHAS',\n",
    "              'NOX', 'RM', 'AGE', 'DIS', 'RAD',\n",
    "              'TAX', 'PTRATIO', 'B', 'LSTAT', 'MEDV']\n",
    "df.head()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/apple/opt/anaconda3/envs/Deep-Learning/lib/python3.10/site-packages/seaborn/axisgrid.py:2076: UserWarning: The `size` parameter has been renamed to `height`; please update your code.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 900x900 with 30 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 可视化\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "cols = ['LSTAT', 'INDUS', 'NOX', 'RM', 'MEDV']\n",
    "sns.pairplot(df[cols], size=2.5)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 2 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 相关系数矩阵的热点图\n",
    "cm = df[cols].corr()\n",
    "sns.set(font_scale=1.5)\n",
    "hm = sns.heatmap(cm,\n",
    "                 cbar=True,\n",
    "                 annot=True,\n",
    "                 fmt='.2f',\n",
    "                 annot_kws={'size': 15},\n",
    "                 yticklabels=cols,\n",
    "                 xticklabels=cols)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "outputs": [],
   "source": [
    "# 使用梯度下降求解回归方程\n",
    "import numpy as np\n",
    "\n",
    "\n",
    "class LinearRegressionGD(object):\n",
    "\n",
    "    def __init__(self, eta=0.001, n_iter=20):\n",
    "        self.eta = eta\n",
    "        self.n_iter = n_iter\n",
    "\n",
    "    def fit(self, X, y):\n",
    "        self.w_ = np.zeros(1 + X.shape[1])\n",
    "        self.cost_ = []\n",
    "\n",
    "        for i in range(self.n_iter):\n",
    "            output = self.net_input(X)\n",
    "            errors = (y - output)\n",
    "            self.w_[1:] += self.eta * X.T.dot(errors)\n",
    "            self.w_[0] += self.eta * errors.sum()\n",
    "            cost = (errors ** 2).sum() / 2.0\n",
    "            self.cost_.append(cost)\n",
    "        return self\n",
    "\n",
    "    def net_input(self, X):\n",
    "        return np.dot(X, self.w_[1:]) + self.w_[0]\n",
    "\n",
    "    def predict(self, X):\n",
    "        return self.net_input(X)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "outputs": [
    {
     "data": {
      "text/plain": "<__main__.LinearRegressionGD at 0x1243a79a0>"
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "X = df[['RM']].values\n",
    "y = df['MEDV'].values\n",
    "sc_x = StandardScaler()\n",
    "sc_y = StandardScaler()\n",
    "X_std = sc_x.fit_transform(X)\n",
    "y_std = sc_y.fit_transform(y[:, np.newaxis]).flatten()  #sc是期望数据存储的格式是二维的\n",
    "lr = LinearRegressionGD()\n",
    "lr.fit(X_std, y_std)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#迭代次数和标准误的差\n",
    "sns.reset_orig()\n",
    "plt.plot(range(1, lr.n_iter + 1), lr.cost_)\n",
    "plt.ylabel(\"SSE\")\n",
    "plt.xlabel(\"Epoch\")\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "outputs": [],
   "source": [
    "##画散点图和回归图\n",
    "def lin_regplot(X, y, Model):\n",
    "    plt.scatter(X, y, c='steelblue', edgecolor='white', s=70)\n",
    "    plt.plot(X, Model.predict(X), color='black', lw=2)\n",
    "    return None"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "outputs": [
    {
     "data": {
      "text/plain": "Text(0, 0.5, 'Price in $1000s [MEDV] (standardized)')"
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lin_regplot(X_std, y_std, lr)\n",
    "plt.xlabel('Average number of rooms [RM] (standardized)')\n",
    "plt.ylabel('Price in $1000s [MEDV] (standardized)')"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 0.695\n",
      "Intercept: -0.000\n",
      "Price in $1000s: 10.840\n"
     ]
    }
   ],
   "source": [
    "#用inverse_transform转换回去\n",
    "print('Slope: %.3f' % lr.w_[1])\n",
    "print('Intercept: %.3f' % lr.w_[0])\n",
    "num_rooms_std = sc_x.transform(np.array([[5.0]]))\n",
    "price_std = lr.predict(num_rooms_std)\n",
    "print(\"Price in $1000s: %.3f\" % sc_y.inverse_transform(price_std[:, np.newaxis]))"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 9.102\n",
      "Intercept: -34.671\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#使用sklearn来实现线性回归\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "slr = LinearRegression()\n",
    "slr.fit(X, y)\n",
    "y_pred = slr.predict(X)\n",
    "print('Slope: %.3f' % slr.coef_[0])\n",
    "print('Intercept: %.3f' % slr.intercept_)\n",
    "\n",
    "lin_regplot(X, y, slr)\n",
    "plt.xlabel('Average number of rooms [RM]')\n",
    "plt.ylabel('Price in $1000s [MEDV]')\n",
    "\n",
    "#plt.savefig('images/10_07.png', dpi=300)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 9.102\n",
      "Intercept: -34.671\n"
     ]
    }
   ],
   "source": [
    "#使用统计的方法，beta=(X'X)^-1(X'y)\n",
    "Xb = np.hstack((np.ones((X.shape[0], 1)), X))\n",
    "w = np.zeros(X.shape[1])\n",
    "z = np.linalg.inv(np.dot(Xb.T, Xb))\n",
    "w = np.dot(z, np.dot(Xb.T, y))\n",
    "\n",
    "print('Slope: %.3f' % w[1])\n",
    "print('Intercept: %.3f' % w[0])"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "## 估计稳健的回归\n",
    "![](picture/稳健的回归.png)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/apple/opt/anaconda3/envs/Deep-Learning/lib/python3.10/site-packages/sklearn/linear_model/_ransac.py:354: FutureWarning: The loss 'absolute_loss' was deprecated in v1.0 and will be removed in version 1.2. Use `loss='absolute_error'` which is equivalent.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "text/plain": "RANSACRegressor(base_estimator=LinearRegression(), loss='absolute_loss',\n                min_samples=50, random_state=0, residual_threshold=5.0)"
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import RANSACRegressor\n",
    "\n",
    "ransac = RANSACRegressor(LinearRegression(),\n",
    "                         max_trials=100,\n",
    "                         min_samples=50,\n",
    "                         loss='absolute_loss',  #绝对值损失函数\n",
    "                         residual_threshold=5.0,  #残差在5以内的包含在内点\n",
    "                         random_state=0)\n",
    "\n",
    "ransac.fit(X, y)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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2stjOOJfP9rR6alZWFq+++irjxo0jNzeXBg0aMGvWLG699VbHMUWZq9wprPKOVg4ajcZv5Kpclz6Fc7l5C0Q6Zz0Xdtdur5oKuL2r/+WXX0hISGDv3r2ICE888QSvv/46lStXznNcYeaq42cyGDB9fZEKq7yjy2doNJoClFVjnfzJbnaqBld1lOb+x6nuWGmzntPS0njmmWfo0KEDe/fupVmzZmzYsIF33nmngGIA181+hvaM4cN1+31SpiOQ0CsHjUZTAH+Uyc5vZnKV9VwcJ3N+vvvuOwYOHMihQ4cICgpi+PDhvPTSS0VG6rkyV729Yjfrko45jvFWmY5AQ68cNBpNQOJJj2ZPOHPmDAkJCXTp0oVDhw7RqlUrtmzZwmuvveZRCHf+Jj8pqVl59tsVVkVDrxw0Gk1AUhInc37shS9PnDhBaGgoo0ePZujQoSUulFeaqKjyht+Vg4gEAVuBP5VS3UWkBrAAaAQcAu5SSp3xn4QajcZfuHMyF9bf+cSJEzz55JN88cUXAHTs2JE5c+bQrFmzUstTWoVVXggEs9LTwF6n1yOA1Uqpq4DVttcajUaTB1cNfs6kZfH+Bx8QFRXFF198QWRkJFOnTmX9+vWlVgx2PO0pXd7x68pBROoBtwOvAc/aNvcCOtmefwCsA4aXtWwazcVMYSGmgVTG3rnBD8DGnXuJf+sZDu3eBEDXrl2ZMWMGDRs29KeY5RZ/f8uTgecB5xiyS5VSxwGUUsdF5BJXbxSRgcBAgAYNGvhYTI3m4qI8lLG3J6gpq5UjW1bw+3cfYMk+T40aNZg8eTL333+/rqtWCvz2TYtId+BvpdQ2EelU3PcrpWYBs8Bo9uNd6TQaTaCTmW2hbnAqX84aw9nkXwFo1uYmVn7xIY0bXO7RGIX5LDT+XTl0AHqKyG1AGFBFRD4G/hKROrZVQx3gbz/KqNFoApCcnBwmTxjPx2PGkJWVRWhkdbo+/DzzXh9CtYgQj8Zwbv/pHHlUEbOdS4LfHNJKqZFKqXpKqUbA3cAapdT9wFLgQdthDwJL/CSiRqPxAKtSZGTl5nn0JTt27KBdu3b85z//ISsriwcefIg/Dx/g0/HPFWtid/ZZVPRs55JQ5MpBRHZ5MMZJpVRnL8kDMA74XEQSgGTgTi+OrdFovEhZ3n1nZmYyZswY3nzzTSwWC40aNWL27NncfPPNxRrH7lQPDw3mzQfaO7b/k5nJ3RPWVMichZLgzqwUBNxWxH7BuNMvFUqpdRhRSSilTgPeVDYajaYEFBaZ5Lw9M9vCyu2HGdy1OfVrRXLkVBortx+mT7srvFrS+qeffiIhIYHffvsNEeGZZ57hlVdeITIysthjFVUapDTlOSoa7j6BR5VSh4s6QEQGe1EejUYTABSmGM7lnsvT8znUbOKm6HpMWrbLsXIY0iOGULN3LNapqam88MILTJs2DaUU11xzDXPnzuXaa6/1yvj5qajZziXBnXJoLyKHlVJHCjtAKfWjl2XSaDR+xtPCe5nZFiYt25WnGc6kZbsY3S8esJYq+ufbb79l4MCBJCcnExwczMiRI/nPf/5DaGhoicbzBO2MvoA79X458LOI/CAig0SkVlkIpdFUZMqqHHZZUCk02GUznFBzEKMXbOVsenaxHdQpKSk8+OCDdO3aleTkZFq3bs3WrVsZM2aMTxUDoBWDE0WuHJRSQ0TkWeB6jIiil0RkJ/AZsFgplVoGMmo0FQp/lMP2Fa6a4dx3XRPSs3IYe387TpzNIDwkiBBzkEf5BF988QWPP/44f//9N2FhYYwZM4YhQ4YQHKx9AGWN209cKaWA9cB6EXkCuBkjomgGEO5b8TQaTSBjEhjeJ5Y3Fiey50gK913XhK6tGvDqwu1O0UuxZFus+bbljWg6fvw4TzzxBIsWLQLg+uuvZ/bs2TRt2tTrMpeH0iCBgMdeIxGJBsYA04Bs4AVfCaXRaAIXZ/NXiDmIqhEhDO7anOUvdKNnm0a8sTgxX+5AIqnnc1zmEyileO+994iKimLRokVUrlyZ6dOns3bt2kIVQ2nzKspDaZBAwF2ew1UY5qR7AAswH+iilDpYBrJpNBofUlSoKrg2c+VYczARREZ2rsNEdCY9i3e/SaJ6ZCjD+8S69EFcVi28wLbjfybz2KOP8v333wNw2223MWPGDOrXr1+ozDqruexwpyq/xfAv9FNK7S4DeTQaTRnhzvfhqk1ny4Y1ebZHDBOX7WJE31ZUDTdTuZKZYb1aMn7JTv4+e76AD6JF/RqcOJvheK2sFrJ+W0dM9J1kZGRQs2ZNpkyZwr333uu2UF7+Sqz2VcjofvE6N8HLuHNIXwGGSUlE7JnKe5VSe3wumUZTQSkvNm971VNn9hxJ4ZJqlfJMypFhZsxBJp7uHk2tqmF5fBAt6tfguV4tMQcZbT43bkvkfyumceyAMYXcfffdTJkyhUsucVl82WOZdG6C93FnVqqCkQFdH9iFkREdLSLJQC+l1D++F1GjqViUF5u3q0gk537J9knZJEKoOYgB09djsSo6Na/Li3fGERlqJvlUGnNX78OSm4P8tpJNM8aRnZ1N3bp1mT59Oj179vSaTHrl4F3cOaRfxWjheZVSqo9SqjdwFbAFo0GPRqOpoJgEhvaMoWXDmgSZjDv/oT1jSM3MBvIqCvuk3al5Xe7p2ITIMEMxfPbjAZZ+9wNvPNWPN18fQ3Z2NgMGDCApKanYigEu9HB2lklnNfsGUUV4+kXkVyBGqbzZOSISDOxWSl3jY/k8Ij4+Xm3dutXfYmg05Y6ifA5WpUjLzCH1fA6XVQt35CzM/G4vKalZeRzBmdm5nM/OJTvXyoSlRimNZpeGk717KdOnTkFZrVStfTmffvget3W9xTF+SXop6B4M3kNEtiml4l3tc7cOy86vGACUUrkikuUV6TQajV9w5/swiRARGkxwkImsHAt1qoeTkZXLsF4tycqxEmo2kZ1jwaqMO3qLVTF2kRHGmnJoD5unvcvp48mYTCYGDH6Sl0eNpnLlSEfo6dn0LMYtSsyTD1EtItTtRG/v3QxoU5IPcffJholIKwxfgzMC+DaPXaPR+JRgCS4iNNS4G8/JtZKake1YDbSoX4OhPWOoFhFCelYu57NyHfuWj+zGjt+Psu/b9zi6ZQUAzZs355Xxb5MRUQ9zaCWWbTlEn3ZXADDOpkgARz6EjjoKHNx9CyeAiUXs02g0AYAn5bXtOJtlzmflFhkaalUwYWnewnoTlu5i1F2tST2fw5Tlux37Ppj/JZvefYLUlL8wm820uf0BKsf24JeT4QxpX4/vdh6hw9V1HP4BHXUU2LgLZe1URnJoNJpS4Gm9pvwrheUjuxU5SRcWOlopNBgRYez97dj522ESHnucR142VgstW7Wm1R3PcMxaHcWFSq2DuzanQa1IhxNbRx0FNkVGK4nI807P78y373VfCaXRaHxD/taYyafSaFG/Rp5jWtSv4ShLYY9CcrV/1PwtxN87kuvaxZH4wwoqVarEm+PHs2XzRv4i73v2HEmhQa1IR2Z1kMmoyZQ/Esqk/coBg7tQ1rudno/Mt6+rl2XRaDQlxO5czv+Xvwx4/pXAZz8eKDBJD+kRw5LNfzhMTyP6xuYLHY3l/RUb+WDcEBIXvEFG6hnqXx3Hqh82sjYrir//yXKtUJxKbpiDjZXJsz1iWD6yGy/f2ZrISmZCzNqsFCi4W79JIc9dvdZoNH6iOM15nM0565KO8Xzvlgzu2px6tSLIyMolMtRMh6vrEGo2YRKhWkQoo/vFO3wUn3z4HkOefpbczHSCQ8NpeusjNGjTlWvjorGsPMKH6/YztGdMHif2iL6xmIMEkwhn0rP4aMV+UlKzGNIjhje+SuRMWhaj+8XrkNQAwp1yUIU8d/Vao9EEIFalHJOufSXgHEKakWXhp33HC7T7dA4tDQsJYu++33nqiUGsWbMGgNrN2nJNj8GEValFdIOaHDmVBhgKRwSHQsnMtpBrtfLSZ1vztBJ9f+1vDl/E4NkbtDM6wHCnHFqKyD8Yq4RKtufYXof5VDKNRuMVzqZn56laGh4SzKi7WlMpJJjkU2ms3nWUnm0a88rCbS5DS81B8OZbkxg96iVys7OoXLU6EydN5jfTVSQdPeMIb5235jfHOVNSjTQo+zlfXbi9QCtRu1KoXytSO6MDEHfRSj5T5SISBvyAkS8RDHyhlBolIjWABUAj4BBwl1LqjK/k0GgqOuezcx3d2OwZz3Wqh5N80ihvAdCzbSOXUUkH9u8lISGBrVu2AHBZzA1c3W0gla6MZ3TbxlQKCebvc+cJCTZxJi2LIJM4ciXcRTzZlcKJsxm6BEYA4q7wXo2i9iulUora74Ys4CalVJqImIEfRWQl0BdYrZQaJyIjgBHA8FKcR6O5qJmyfDcj+sYiAuezcpmyfHeeiqnBQcLxMxl5fBHW3BzSdn1N/H8/ICcnh8svv5z/jpvI3+FXsS7pGJ9sOMA9Ha+i22tG+Gqn5nV5uns0daqHFyhpUVixPEMpxBIeEkyIWZfACDTcreFOAUcBe8iD87engCtKemJb+9E020uz7U8BvYBOtu0fAOvQykFTgShOwprHY1pdl8L4JzPTYSIadVfrAgltby3ZydPdo/lw3X6G9Ihh0rJd/PjLRn5f/g6njho9vVre2IfaHe7hN2t9htzYDIAzaVkkn0pznGdd0jE27D3O8he6FTAN2Yvl5c3C1koh0HH3S3wHY6L+CaPpz4+qqEp9xUREgoBtQBNgmlJqk4hcqpQ6DqCUOi4iLgu9i8hAYCBAgwYNvCWSRuNzPI0scodzpnNWtmLB5v18uP53Vv7nNrqPXYnFeuFf1Z64VliXtnVJx8jOOs+ZjfPZNGsaVquVK69sQpu7hpBSqSFwwVfw0p1xRISZOZ2aSafmdVmXdAwoPInNiHgKyeOg1sXyAh93PoenxWjN1An4N/COiKwCpiul/ijtyZVSFiBWRKoBi0WkRTHeOwuYBUZV1tLKotGUF6xKkZ1jISM7N0/U0ZAeMUSEmknPynVpxjlfyPYTZzNI+WMXb0x+h/MpxxEx8dSQZ3ltzBjumrIe8imZiFAz3V9f6XBEi+Co0lqY30AXyyt/uP2WbCuFtSKyAyMp7hXgd2C2t4RQSp0VkXUYiXV/iUgd26qhDvC3t86j0ZR37OUvzmfn5qlrZL+rf/HOOJZu+YMX7mhFelYul1ULJyUtk4hQM6FmU4EubY92asSLw55m63tzAYiOjuadd2fR4f/acvRUuktlknwqDYtVOeosje5nVHzWq4GKhbvyGREicq+ILAFWAJFAnFKq1IpBRGrbVgyISCXgZmAfRue5B22HPQgsKe25NJryjlUpMrIM19/57FzqVAt3aSKKDDNz5HQ6FqtiyvLd9Bi7kvFf7ST1fDbjl+zkmx3JvHRna5aP7EZTSSauVQzvz5uL2WzmuZEvsmnzFppERZORlcvRU6kM6RFTIHvaHuFkP2eYLatZK4aKhbuVw98Yq4TPgAMYDuM2ItIGQCm1qBTnrgN8YPM7mIDPlVLLReQX4HMRSQCSgTuLGkSj8Qa+cBJ7C1dltV+6s3WhpqN/39CUNxYnFqikOrhrcx6d+QO/7PofR9bMY+niLwBo07Yt4ydP4+vfc7ljwmqHuSiuySUs3njQUTDvfHYuX23+w+FjsJ8z+VQaDWpHlu2HovE57n71CzEUwtW2P2cUUGLloJTaBbRysf000Lmk4wYqgTz5aLznJPYEd0128uNcLA+MyX7plj8KmIhG9I0lNCSIOqGuVxX1akZwfNc61q6YRU7GP5hDwhg9ZgxPPvkUS7ceZnDXOtSvFcmRU2l8v+sofdpdQZ92V+RxIneLa8DOQyl5/Bxrdh/lkqpXaF9CBcOdQ/qhMpKjwlOWk48msLErAFftLl3hKonskw0H6NexSZ7cglCziawcK1CwHHbDiFxu7XY7u7/7BoBON97Ea29N4ZqmTQgPMxconTGkRwyhZhMikseZXDU8hJfvak24Lbt6ze6jdItrqBPYKiDufA7d3Q3gyTEajSYvdlPR6AVb6f76SkYv2EpaZo6jVLb9ESi0bHZ2jpXqEUZDxrCQIM5l5DB6wVbeXrGboT0NX4EJhTr4Ax+/fD9rvvuG0PBIJrz9Lrc8Pp7/fn2YsYsSycy2MGnZLkcZb7tz+3yWhfP55AkymQgPDSYzx0KD2pH0aXdFntIcmoqDu3XgeBH5k6IrsL4OLPeeSBpNxSe/qah6ZGielpsX2nWGFJJEdiFs1NHVLTuX6pGhrN1zDKWgxzWV2DzvLdavXw9Az569eHPiZBbtPIMAMx+9nvq1IhFx3ZUtPMyYHpJPpvHTvuN0i2voUAQ6LLXi4+6b/YvC24Ta+d1Lsmg0Fw35TUX3dGxSIHvZuV2nqyQyoICjekiPGCyWXN6fOZUX13yMNTebkIhqdH3oOeaNfRYQhvduSHpWLku3/MEnGw4we9ANLp3bx89kMGD6ese4K7cfpk877Vu4WNBtQjUaiu8kLi356w3VrxVZZLtOV3frGS76P4+ctogdX05kf+IOAO6+9z6mTJ6MNTicYJOJ177Mq0iST6Xz4br9DOvVkvFLdjr22ausOpuZBndtrn0LFxH6FqCMKOvJR1M8yjpgIL+p6MTZDJd370WVsXZefVhzczj4w+d898PnKKuFyjUuZfr06SQHN+LfMzYx89Hrmbhsl8uy2Y/O/MHWf6E1YSHBZGZbeHvF7jwhq/Y2n7qs9sWD/pbLiMIUgFYMFycmEaqGm42+CqHBZOVYePHOOFLP53BZtXBOnM2gciVzkXfq9tXH+h9/Iumrt0k/mQzAo48NYvSYVzlwMpMOtSrzfO/YQv0K9WsZ+QkpqVkodSGRzd6PwY69zadWDBcP+pvWaMoQ5/DV89kWEg+epEmdatSuGuYoieGct6CUIsPJx+Ac+no+I52MrZ+xec47oBTVL63PRx/Mo+stN5GVYyEmIpJXv9jOniMphfoVjpxKo2XDmrx2f2vMJjNgmK3efKA9YFR1ffXzREb0jaVSSBBWLJhcTBt6BVzxEE+KrIrIncA3SqlUEXkRiANeVUpt97WAnhAfH6+2bt3qbzE05RhvJCnmmfizco1qqTlWR82h/JnO913XhG6tGjBucSKDuzbn3W+S8kzeLRvW5MU744gMNZOZayHTqdBe5X/+x6bPJ3L40CGCgoJ47rnnePb5F/huzwk+2XCAFvVrMLJvLFk5VmpXrcTJc+cJNZsY61Sob3ifWKpFhHA+20JkmLlQs1qG7Vrsqwqdr1NxEJFtSql4V/s8VfUvKaUWikhH4FbgLWA60M5LMmo0fqW0Zj9XJS7sk699cs3KtlA13OyY8O0RQzsPny7UIR0ZZkYpsFisjFuUyNZ9h9n/7Tz+3L4KgKgW0bw9bQb/174to+ZvpXpkKO8OuI4GtSLJyMplxfZkh7J4rldLxtwdT0hwEMmn0pj13V7WJR2jZcOajpWCK7Qp6eKkyCQ4Jyy2x9sxynUvAUJ8I5JGU36wJ4g55y3YI3zeWJzIkVPpjPl8G/+kZ3PkZCpn07NZtuUQyafSiAgNpmebxgzqEsWRU2kuE92On8mgx9iVRISaWb3qa36eOpg/t69CgoJpevMDbNu6lW8PmVAKOlx9KQNvuYZ3v0mi+9iVjFm4jZui63HdNXUcjX2sCpJPGe1B7Q7n/ErJzpqYNcXarqlYeHpL8KeIzMSonPqGiITiuWLRaPyGL2taOa8Wxt7frlCH787Dp1m5I5lebRuzZPMfBUpVDO8Ty4Zfjzs6seUPJ834J4Weff7F9qVGKbNq9a8hqvdTdIiP5cS5LEfIa+foeoxZuM1lRNK6pGPsOZJCqDmIn/Yd54luLRjeO5bkU0aCmyuqBlfVJqSLGE//O+7C6LXwlq33Qh1gmO/E0mi8gy9DVO2rheqRoaRn5RTq8O3UvC492jQiPDSYHm0asWzLoTwT+BuLEx2mplF3tXb4KqZ8vYtPP/2U31bMIud8KhEREbTv8yg39b6XB2+8mjrVw/n77Hnuu64J6Zm5RBTS6c0ekdSifg1OpZ7npuh6vLJw2wXHd5/YUn8WmoqHp8qhMnAIiHRq4+n6dkPjdXRFV99Q3M81//awkCBqVA7lwU7NWLblUIE7/yE9Yti0/y8eurEZry7cXiD5zNmsExlq5s0lifz7hqbUCQ0n+fBhlk4exp4Nhgnnps438+706TRs2KhAB7gRfWMJDzXKZxSmoBYNv5mIkFDH9vzRSK/dH18shZn/WP1brHgU+W2KSCwwA6gKHMWosVRPRM4Cg5RSO3wtoEZXdPUVRX2uhW3PH5H06C3XMHaR0Tsh+VS6o/dBRnYuSzb/QYer6ziK2sEFU8/ofvE8fXs0qZnZfL/zKCdTz/Ngp2ZMXJLIikUf8/t3H5CTmUFklaqMemUcQx4fyPlsC+lZuQV6NYxbZEQ7/bTvuMsy3lXDQwgymQq9pj1HUgiS4mU+t97eOs/vTyuGioe7b/R94FGl1CbnjSLS3ravpW/E0mgCk7Pp2azcfpgOV9ehQa1IKjmZctYlHWNd0jGCTMKykV0dvRBcmXpCzUGM/HgTQ3vG0CO+Edm5Vv4zeylfvjuGs4eTALgqvhPfLPyQRg3qOXwD91x3VaGmow/XG2XORvdrDQhhIUGkpGaxbMtherdrXOg1ucvE1lycuPs1RORXDABKqY0iEuEjmTQXGeXJbLZy++E8DuXCkssysy2czciG9IK9FeymHnuHtse7XsNn86bz3ksvY83NISSyGtfcPoi60R1p1KAe3ceudJijTqdmFjoewJHT6WTmWPKYnYb0iClwHWti1lA1uCpAnjBW58+8sJIv53LPlfJT1Lgi0P4P3J1xpYh8DXwIHLFtqw88AHzjS8E0Fw++NJt5u6ZV73aNqWQOZnDX5nz24wE+XLefoT1jHKW277uuCb3aNKZSaDBBJkEBI/rGFpis31/7GwA/b97K6imPs327kU9at9XNNLs1AXN4ZUcLTnto7JrdR+ndrnGR4/37hqaMW5RYwIyVP4+hqEik/Nvzf35Vg6uyLW5bQCrv8kygmY/dVWV9SkS6Ab2AyzF8DkeBaUqpFWUgn0ZTKrxd0yrtfA7vrNhDSmqWY1J+b+1vjO4XT4jZxLn0bMYs3EaNyqE8fGMzvt91lM7R9Rj373ZGyYvsXGZ9t5fViYc4uH4Bh3/6AqvFQoOGDZk4ZSqbztXK4y/IzrGy4j+3cfLceULMJv67wBjb3gEuI8vwbWzYe5yWDWtSp7rrFqG+QCuGio3bb1cptRJYWQayaApBV3T1DUV9rq62/5OZyYSlFyqZTlq2i5fubE1EmFHJNCvHwjc7ktl5+DQzH72e73cd5aboekx0imAa0SeWzBO/sXHGMNJPHkVEeHTQYJ5/YRS/HDzL4GsNX0ZmroWMzNw87x3aM8bRzGftHiOz+dkeMXSOrsc9111lKJ+svBFLC4d1pkpYWKHXpNEUhrtopWAgAeiNsXJQwDFgCTBXKZXjawE1uqJrcfHUdlvY52ciyFHyovvrK7FYL9QfCzKJI29gz5EUwkODSD6ZRv1aEWRmW7jnuqvo0+4KTAKdbYrBPlFv23+UW+6YyI7vv0ApRbNmzZj67kxatWnniECyO5XnPd6JKct35zEP2RWTcwhs7aqVuO21FbRsWJPR/eIJMkkeM1eVsLCAMlVoyg/uZpePgLPAfzHMSQD1gAeBj4F+PpNMoykhxbHd5lcYzlnPg7s2L9L5e991TTibns1P+44XyHoe2jOGS6pVcph0Th3Yzq9Lp5J59m+CgoJoc9v9VInrzaqjocS1hRqVQ/PIdVk11+Yhu2Kyy2JRuXz70u15jgsLCebV+1sTpIsua0qBu19PnFKqWb5tR4GNIrK/NCcWkfoYju7LACswSyk1RURqAAuARhiJd3cppc6U5lyawMabZjN373HnbHWukfTZjwd4rldL3srXIe29tb/RsmFNerVpzJiF2xjctXmBXIbvdx2ld9vGNKkRzJezx3Nsx/cAtIhpSdy/nuUENR3HjluUyNPdo1m750JzncKa/5w4m0GQSRwmqpCgwqupWououFwck5o2X5YNgWY+dnfGM7Zy3V8qpawAImIC7gRKO2HnAkOVUttFpDKwTUS+Ax4CViulxonICGAEMLyU59IEMN40mzm/xzlc0862uG3kWHNon+i6Cmn+vITgIOHp7tFcVi2clLRMIkLNPN8r1tH4xn437/yeTs3rclN0Pf7z1kwWTH2Vv//6C1OwmY59B7Dqo0n0Gf89OJmq9hxJoU71cFo2rOlQQpFhZkb0iWVcvoS28JBglr/QDYuyYDYV/fnYS2y7+5zcbdeKoWwINPOxu7PeDbwBvCsiZzCilaoCa237SoxzCQ5bn4i9GH6NXkAn22EfAOvQykFTAopbOM6qVB6H7j0dm+QJCwWjx4K998JLd8Y5zEzOd/k3N61Mpy7d2b91LQDx7a7lw/fmUa/RFZxJd13iIiMr16GETpzNwGK18vfZDEenuPTMHMzBJkKCjb4KJpvpTPsONL7CXSjrIWx+BRGpidEc6JS3hRCRRkArYBNgr92EUuq4iFxSyHsGAgMBGjRo4G2RNBcZdl/Dyu2HHTWSCuuxYN8eHhrMiD6xrNyRzJAeMUxcupNvly7k1kn/5syZMwSFVOKqLg9RPb4bQxcdZPnIZkxdmVTAVDW8TyxLNv/hcEaDoYReurM1//38QoG8Yb1aUrkSBJuNu0lPFEOgmSo05Qe3vw4RqYpRkfVyQInIMeBbpdRZbwggIpHAl8AzSql/pIilsDNKqVnALDA6wXlDFk3F4FzuuWLfUTv7Guw1krJyLIU6pO1Z0Ct3JNM5uh7pZ06w4+NR7P7+OwAaR7en3i0DqVTtEsf7MrJyuebyanlMVSfOZmAONnHkdHoeefYcSSEiNNhx7hfviqVKWJhjv31F5O46A81UoSk/uAtlfQAYBawC/rRtvhF4XUT+q5T6sDQnFxEzhmL4RCm1yLb5LxGpY1s11AH+Ls05NBcfN+26CSh64rTvs99B2yusznz0eurXiuTIqTRCzKYCd/kj+sZisSpbUlsu4SFBzJs9g9fGvExGejrmSpXp3X8Yk0c/y2SnftBDesSwZMsf9GzTiFcWbi9gqsrvkLZnR9txDkl1vq7CFKFeGWhKi7tfz3+A1vlXCSJSHcMEVGLlIMYSYS6wVyk10WnXUoxQ2XG2xyUlPYfm4qO4yV72CTQ7x8LDNzbLUwajd9vG1Kwcykt3xhERaiYzJ5fMHAvjvzKURZ2gf0ha8jabNv4CwGUtrqPZbQM5F1mdD9btNyq01o4k+WQa76/9jQ17Cy+cl98hPaJvLJVCTXnCVJ0Vmh27InTe73xdGk1JcfcLEozEt/xYbftKQwfg38BuEUm0bXsBQyl8LiIJQDJGZJQmQCnrYmHuzue8rzj2dqtSTFhqhKPao42c7f1DesQgwMRlu9hx8C8O/biIb9Z9irLkUvuSS3n1jUkcMDV2rAjWJR3jTFqWI5sajBVC/gxmMFYJp1MzGdy1uWPV8mtyCh2j6tJ6e+sCUVd2f8O53HN5lAMYK4n8EVqBRKAVl9MUjrtv4zVgu4is4kLhvQbALcArpTmxUupHClcwnUsztqbsKOtiYb44n8Vq3OuMvb8dR06lUSk0iAlLCvZgGPfvdvy0aQu7F00m9cRBAOq17kLit58xa/1hnut8dQFH8zc7ki/kJfSNxWQShvVu6Vh92LfP+m5vHrNSkElYEVUXKF7U1U27bgroCKZAKy6nKRx30UofiMhS4FYuFN5bB4zUiWmaQMcTZ6xVKc5lZBforDa0VwzzVv/mKFWx8+Bxnn9+BL/MmICyWgirdinNez3JTTd1JjS8MmfSspi3Zh/DerekZuUwMrMtmAS6xNbn7o5XceJsBsFBJrYd+JvmDWsYpqowM+ezDFNVSmpWHhlb1K/h0TVuarXJcT051rzVbPRduqY0eFJ47wwwvwxk0WjKHCNKqWBntae7R/PQjUZxgMUrvuPA19NYdSIZEaF1l37UaH8XsVfWZUSfWIKDhZfvbE14aDDJp9JYlfg73eIasHJ7Msmn0rmnYxPq14rkxNkM4ppcQmZ2Lq/Y2oYuH9mNd1buKdBidETf2CLlXhNjtA91nuTNJrNju32fvkvXlJQS3z6IyG6lVLQ3hdFoisJ+x5t/citN85nCOrVdVi2cobPXkLJ5AVvmzQagdr3GjHljMvf37UZ4iKEIVu5IdigC5zyFnYdSGNorBquVApP+yu3JDmWUfCqNlNQs3l/7m8PncOJsBuEhRf9rFsfU5CpTHPQKQlM07kJZ+xa2C6MmkkbjFTwxgfjiTjgz23Uuw8efL2bm8MfIPHeS4OBgruv9MEFRt9H15hsZ8/m2PMfvPJTC4K7N8yiHPUdSqBwWwugFW132e7Yf+9mPBxyrhsGzN9Cifg1euz/eURqjJNeWP+S1uJniGg24XzksAD7BdcRSmIttmosMb2XglnbiL+ldcFhIUJ7OaldWD+LQyncYP/9TAGJatiKiwyOYLzN6MDcoJGu6gVO1VDAUTGGrEudj1yUdo0GtCEeZjMxso2aS82exJmZNhZnIdcZ2+cHdt7ELeEsptSf/DhG52TciacoTZZWB627y8PR8VqXIzLYQFhLkeKwWEcqou+L4etkSHn/8cU6dPEmwOYQXXx7F4CeeYvzSPQ6zUEYhoagZ2bkF8hQKO9aCpUCZbfs1hocWvA7npD5PM6MDFZ2xXX5w9408A/xTyL4+3hVFo3GNtwrMWaxWzmdbDH/ByTR+2necbnENyTh3iscGDebrZUsBuP7665k8dToxza9m+dbDvHhnHBG2u/pKocG8fFdrlmz+g082HHCUzg4LCeLlu2xO6ZNpzFy1F6Cgo7lPbIGVgR1PrrE4n0MgdH/TEVPlF3ehrBuK2LfV++JoNL7BVcjqM92jGfHKBD6f+Sbnzp0jKLQSTbs8TGjrrny24x+aNrXQvumlLNtyqEAzn+F9Yrm7YxPH6iMrx8qYz7c5KrbaVwtPdY/izQdclwcvDHeml3O554gIiij0GDt2U507BeHLiVpHTJVfPCm8dwmQrpRKF5FKwLNAZWCKvXqqRlMSijsplcRebTcjAXlCVn9JTOLzN5/icNIWAGo3jeeaHo8TVrU2YPgGBBytOfM383ljcSKj+8UjIoiIw7/g7GDecySFiJDQQrOWC4sigoJNieCCWcn+GRR2jKtoLlefmz3DWk/UGld48p85H6MBTzpGu9DawD7gU4wifBpNiXC+qyzM6eocplpce7Vzy8+x97djz5EUlNVC8qbl/P79h1hzsqhZsybj35rIr3IVu5IvOI8Nh7LrZj5gKI+wkCBGfLSJEX1bEWYOokX9Go6kuVfva01IkBkgjwJwVhTeiCLyJEzVlc/CHdrso3EXyvogcCXQyVYorx/wJpAGNLRVbU1USu3yuaSaYhPI9t7CchZyVS7tdrTzyjmcy3CfPHeey0znWDR3DOeO7APg6na3sGLh+zS4/LICJqchPWI4nZrpspkPGMrj77PnbeGpOxhzdzwj+rZi3KIdbNh7nJF9W5WJOcVbYaru2qdqLj7czRDrgPPAXowOcH8ByzDyHJ6w7S95BpLGpwSyvbco2bwV6mgvwz13UEemTR7PJ+NeJzs7m9DKNbntkeHMefVJqoaHGPIEmRzVV9OycggPDeZ0aibDerVk1c4jBRzLz/VqydzVhpLZcySFYDPUCAnlzQfaO+z++a/DubxFab+DkvSsKIo1MWsKFPHTXNy4c0gfFpEpwHLADDyglEoWkQbAKaVUclkIqbn4uPWVrx3PWzasyeh+8QSHFn68qxDV7BwLraql06VTR/YmGdHYd9//ENPensR5ZSY8JBgRISMrl1cXbmfs/e3oPnYlFqf+zje2qMtTt0UTajY5chGOn8kgopKJkX1bMbJvK8exzmGmRfkMoGh/gyd40rOiOArEV5VcdV5D+cWT2krTReQjwKqUyrBtPg3c41PJNBc1eXMGWhEWElTosc6+Bft7nu52NRPGvcrkSZNQykql6pcR1etJUq5oyT1TfyLIJCx/oRuZttDWPUdSOHIqjfuua0KHq+s4Smf/tO84Z9KzGDB9vSN/oXIlMxEhIS7LaXuKu/cUNqHat3sy6edfCRTl1/GVctB5DeUXj74hpVRavtfphR2r0ZSWXJXL6H7xeVYBpiLaxzr7FgDWrlvH7Ofv5OxfR0FMJDz2BJXj7uDXExd+tvY2n2EhQSSfNHwKiX+comurBryxODFPyOqGX49jsSpH+YvR/S6sCuw2/5KYeDzp4uaufEhxzmuPTApUU6MmsNDqWxNwBEuww4TkKmM4P/Yw0tzMDPZ/9x5Ht6wEoHnz5sTeMYQrW8bx0I3NChTAM9n0TURYMCP6xnI+28IbixMLhKwO7trccS4jSsk7/zaubPzb4raRbkkvYDYqzAxTlIIpLs7jaLOPRn/7FZhAtvd6U7bMbAvhKfv4+YM3OXf6L8xmM08+O4xRL/6HXIIYt2gHH6z7jae7R1OnejiZ2bnkWhUvz9/qUBbDerWkTvVwlyGr9Z1qIdlXHJ4oLVcmJ3sHt6JwpTQK+0yc8xSczUMl+X6dV0D+/n1o/I/+BVRgAjlayUQQKWlZefwEI/q2olpESLHGOXXqFE8/8wxffvIJAHWuiOLK2x8nKCqOXExUCTc7HMnns3JRSgHCqwsvVFatHhlKtsVaaIXWE2czHN3chvaMcaw4nHG+g3dWfGX1+ec3bRWlfN3lk2g04KFysJXufgO4BCOMVQCllKriQ9k0FZj8fgJ7vsDofvEe3ZUrpfj888958sknOXnyJJUqVaJd7wGYm3VGTEEO/8DLd7VmjFMv6BF9W1E13OxYIXRqXtdhcqpROZShPWOYsDSv+UkpWDayGyfOZlApNJgQc1CBSdb5bj9/JrMrijNJF2c15aqXtjOufBlg+E62xW0LiFWlJjDw9FfwJtBDKbXXl8JoLh4KK2ddVFSSnT///JPBgwezdKlRKO/GG29k5qxZPL1gf54w1D1HUggPCS6ggEbd1dqxQrinY5M8pTGUwsn8ZCHUbCIrx4oIVI8IdTjHnU5T4I7dk4J3zhOwXZEUlr1sP7aoMhiuxi1qotdRRBp3ePpL+EsrBk1RuMozcBdh5MqEU5Q9XynFnDlzeO655/jnn3+oUqUKb731Fv379+d8toUW9U8VGC/5VJ5AO/YcSaFSaLCjh0P+0hjrko6xYe9xlr/QzSFHeKjJ9hhMrsrFRLDXTXaeRC55UgbDeXsgmA815RdPlcNWEVkAfAU4OqErpRb5QihN+cJVnoHdf1CYggg1m4wS17Z2m/by2YWtHP73v/8xYMAA1q5dC0CPHj2YPn06l19+OVCwaY9zS05n7AqoangIg7s2JyuneErK00qnxSW/Ezq/iccf5bcDufyKxvd4+g1XATKALk7bFFAq5SAi84DuwN9KqRa2bTUwOtA1Ag4BdymlzpTmPBcrZRWtVFz/gVE+OyefMomlari5gDKxWCxMmTKFF198kfPnz1O7dm3eeecd7rrrLiTfscFBJp7uHs1l1cI5cTaD4CATPdo0YuehlAIJdZnZFt79JonqkaEFey64SbrzlNJ+/s7H5DcXlYVTOZADGjS+x9MkuId9dP73ganAh07bRgCrlVLjRGSE7fVwH52/QlNWduXi+g9cK5NEmzIxTDhWpdi2YydPDHqUzZs3A3DfffcxefJkatWq5XLMVxduz7MCsJfdcJVQZ6w0WrkIc3VvEvMUTz5/TxSIvlPX+AN3VVmfV0q9KSLv4KKPtFLqqdKcXCn1g4g0yre5F9DJ9vwDjOJ+WjkEMMX1H7hTJplZWYwe8yrj3xiH1ZJL5RqXMGvmTO66o1ehk3ZRY9rf4yyLSYRqESF5FEf+Y8oCT+7O8x+js5w1ZYG7/wS7E7osu75dam8ipJQ6bms2VAARGQgMBGjQoEEZildxKamN2fku3BPTTFHKZM/O7Tz8yCP8mpQEQL023Wh6y8Nsz7iMnkU4q0vi4DaJODmdi6cUPHEge7rd1Tg51hzMJnOxZAKd5azxHu6qsi6zPX5QNuJ4jlJqFjALID4+vsCqRlN8SmpjdnUXXpRpxpUyeaprM156YTiTJ0/GarUSXrMuUT2fpEbjaMB9mGtxFVRxJnFPHMP27GRPPsP89ZKcx8ifL1EatGLQlIZA/PX8JSJ1bKuGOsDf/hZI457i3IXnVybfrlrNDdfGc/DgQUwmE888OxSu7u6yUF5Rq4D8CsqeyZyRlVtAWRVHEeY/1lVZjIigCJdj5J/w3Z27rO/8i1KSdpk8fY+mYhGI3/BS4EFgnO1xiX/F0fgCkwg5mekMeep5Zs2aBUB0dDTz5s0jrnXrPKGx913XhF5tGxMWEuRyonceMzw02Mi5yLEUK7S2OOQvildUEltp7v7LYgIuyWpRK4aLA79+yyLyGYbzuZaIHAVGYSiFz0UkAUgG7vSfhBpfsWzZMh577DGOHTtGSEgIL730Es8//zwhIUZtJfsqINRs4lxGdoESGEVN9KUtzRFo5DdllTZEVt/5azzB5MlBItJURFaLyB7b6xgRebG0J1dK3aOUqqOUMiul6iml5iqlTiulOiulrrI9prgfSVNeOHnyJPfeey89e/bk2LFjtG/fnh07dvDiiy8SEhKCVSkysi6Um87KsTJukVFG+0JPhR2O6CIoWJ46PDSYNx9oz8JhnR3bPC3NEUjYr8uTkhjFmfDtq4XCsqw1GvB85TAbGAbMBFBK7RKRT4FXfSWYpuzx5I60uGUy7Cil+Oyzz3jqqac4ffo04eHhvP766zzxxBMEBQU5xs6faT3u3+3c5lAUZRpZOKwzVcLCXF5TWVHSgnaFNffRYayassDTX2u4UmpzvozUsvvv0pQJ7pK2SlImA+DIkSMMGjSIr782+kJ37tyZWbNmccUVV+Q5zpU56PiZjGKHqDpTJSzMI+evncKilUrrmC1u4ptG4288/SWeEpErsSXCici/gOM+k0oTkBS7TIbVyuzZsxk2bBipqalUrVqViRMn8vDDDxcofQGuE9k+Wr/fRc0k75S3cIWrybkoM459oi/OhB9IFVGLm6+huXjw9Nt/HCOn4GoR+RP4A7jfZ1JpApLilMn4/fffGTBgAOvXrwegd+/eTJs2jbp16xY6vqtEtpTULMJDgovVU7os8DTKJ9An2MLyKgJdbo3v8bS20kHgZhGJAExKqVTfiqUJRDzJQs7NzWXy5Mm89NJLZGZmcskllzB16lT+9a9/uVwtOFNYIluI2XUJjEAl0KuZarOWxhM87QT3OvCmUuqs7XV1YKhSqtQRS5ryg7ss5F27dpGQkMDWrUa1lQceeICJEydSs2ZNj8Yvbqa1nUCb7LxVzdTVdXnb/+HJds3Fiae/hm5KqRfsL5RSZ0TkNkArh4uIwibvnOxsXnvtNcaOHUtubi7169dn5syZdOvWrUTnKG69o6ImO3eTaUlqIZXVJOqp/6Oo7RpNSfH0FxUkIqFKqSwAEakEhPpOLE2gkn/y3rhxIwkJCfz6668APP7444wdO5bKlSv7U0wH+dtx5qewu3ndy0BzseOpcvgYWC0i72FELD2CUU5bc5GSnp7Oiy++yJQpU1BK0bRpU+bMmcN1113nb9HKhEAzZWk03sZTh/SbIrIb6AwI8IpS6lufSqYJWFavXs2AAQP4448/CAoKYtiwYYwaNYowF8lmFRVt3tFUdDz+JSulVgIrfSiLJsA5e/Yszz33HHPnzgUgNjaWuXPnEhcX52fJAgu9qtBUBIqsrSQiP9oeU0XkH6e/VBH5p2xE1AQCX331FVFRUcydO5eQkBBee+01Nm/erBWDC/SqQlMRcNfsp6PtMTC8i5oy56+//uLJJ59k4cKFAPzf//0fc+fO5eqrr/azZMWjuHfz+u5fc7HjtiqriJjs1Vg1Fw9KKT766COioqJYuHAhERERvP3222zYsKHcKQYo/t28vvvXXOy4/aUrpawislNEGiilkstCKI1/SU5O5rHHHmPlSsPF1KVLF2bOnEmjRo38K5hGoykzPL0NqgMkichmwNG7USnV0ydSafyC1WplxowZDB8+nLS0NKpXr86kSZN44IEH3Ja+0Gg0FQtPlcN/fSqFxu/s37+f/v37s2HDBgDuuOMOpk6dymWXXeZnyTQajT8oUjmISBjwGNAE2A3MVaoMu6RofE5ubi4TJkxg1KhRZGVlcemllzJt2jTuuOMOf4um0Wj8iLuVwwdADrAB6AZEAU/7WihN2ZCYmEhCQgLbt28H4KGHHmLChAnUqFHDz5JpNBp/4045RCmlogFEZC6w2fciaXxNZmYmr7zyCm+88QYWi4WGDRsya9YsunTp4m/RNBpNgOBOOeTYnyilcrVTsvzz888/k5CQwL59+xARnnrqKV577TUiIyP9LZpGowkg3OU5tHTOigZiyipDWkS6ishvInJAREb48lwXA2lpaTz11FN07NiRffv2cfXVV7NhwwamTJmiFYNGoymAuwxp3zTqdYOIBAHTgFuAo8AWEVmqlPrVH/KUd1atWsXAgQM5fPgwQUFBjBgxghdffPGiKpSn0WiKR6Cme7YFDtjakyIi84FegFYOxSAlJYWhQ4fy/vvvA9CqVSvmzZtHbGysX+XSaDSBj9vyGX7icuCI0+ujtm0ORGSgiGwVka0nT54sU+HKA19++SVRUVG8//77hIaGMm7cODZv3qwVg0aj8YhAXTm48nyrPC+UmgXMAoiPj1cujr8oOXHiBE888QRffvklAB07dmTOnDk0a9bMz5JpNJryRKCuHI4C9Z1e1wOO+UmWcoFSivfff5+oqCi+/PJLIiMjmTZtGuvXr9eKQaPRFJtAXTlsAa4SkcbAn8DdwL3+FSlwOXToEI8++iirVq0CoGvXrsycOZMGDRr4WTKNRlNeCciVg61ExxPAt8Be4HOlVJJ/pQo8rFYr77zzDi1atGDVqlXUqFGDDz/8kBUrVmjFoNFoSkWgrhxQSq0AVvhbjkBl79699O/fn59//hmAu+66i7fffptLL73Uz5JpNJqKQECuHDSFk5OTw+uvv05sbCw///wzl112GYsXL2bBggVaMWg0Gq8RsCsHTUG2b99OQkICiYmJACQkJDB+/HiqV6/uX8E0Gk2FQ68cygHnz59n5MiRtG3blsTERBo3bsx3333HnDlztGLQaDQ+Qa8cApwNGzbQv39/9u/fj4jwzDPP8OqrrxIREeFv0TQaTQVGK4cAJTU1lREjRvDuu+8CEBUVxdy5c2nfvr2fJdNoNBcD2qwUgKxcuZLmzZvz7rvvEhwczEsvvcT27du1YtBoNGWGXjkEEKdPn2bIkCF89NFHALRu3Zp58+YRExPjZ8k0Gs3Fhl45BABKKRYuXEhUVBQfffQRYWFhvPnmm2zcuFErBo1G4xf0ysHPHDt2jMcff5yvvvoKgOuvv545c+Zw1VVX+VcwjUZzUaNXDn5CKcXcuXOJioriq6++onLlysyYMYO1a9dqxaDRaPyOXjn4gYMHDzJw4EBWr14NwO23386MGTOoV6+enyXTaDQaA71yKEMsFguTJ08mOjqa1atXU7NmTT755BOWLVumFYNGowko9MqhjPj1119JSEhg48aNANx99928/fbb1K5d28+SaTQaTUH0ysHHZGdn88orr9CqVSs2btxI3bp1WbJkCZ999plWDBqNJmDRKwcfsmXLFhISEti9ezcAAwYMYPz48VStWtXPkmk0Gk3R6JWDD8jIyOD555+nffv27N69myuuuILVq1cza9YsrRg0Gk25QK8cvMz69evp378/Bw4cwGQyMXToUMaMGUN4eLi/RdNoNBqP0crBS/zzzz8MHz6cGTNmANCiRQvmzp1L27Zt/SyZRqPRFB9tVvICX3/9Nc2bN2fGjBmYzWZGjx7Ntm3btGLQaDTlFr1yKAUnT57kmWee4dNPPwWgbdu2zJ07lxYtWvhZMo1GoykdeuVQApRSzJ8/n6ioKD799FMqVarEhAkT+Pnnn7Vi0Gg0FQK9cigmf/75J4MGDWLZsmUA3HjjjcyePZsrr7zSz5JpNBqN9/DLykFE7hSRJBGxikh8vn0jReSAiPwmIrf6Qz5XKKWYPXs2UVFRLFu2jCpVqjBr1ixWr16tFYNGo6lw+GvlsAfoC8x03igiUcDdQHOgLvC9iDRVSlnKXsQL/O9//2PAgAGsXbsWgB49ejB9+nQuv/xyf4ql0Wg0PsMvKwel1F6l1G8udvUC5iulspRSfwAHAL+F/FgsFiZMmEB0dDRr166ldu3azJ8/nyVLlmjFoNFoKjSB5nO4HNjo9PqobVsBRGQgMBCgQYMGXhdkz549PPLII2zZsgWA++67j8mTJ1OrVi2vn0uj0WgCDZ+tHETkexHZ4+KvV1Fvc7FNuTpQKTVLKRWvlIr3ZgG77OxsRo8eTVxcHFu2bKFevXosX76cjz/+WCsGjUZz0eCzlYNS6uYSvO0oUN/pdT3gmHckcs/mzZt55JFHSEpKAuCxxx7jjTfeoEqVKmUlgkaj0QQEgZbnsBS4W0RCRaQxcBWw2dcnzcjIYOjQoVx77bUkJSXRpEkT1q1bx/Tp07Vi0Gg0FyX+CmXtIyJHgWuBr0XkWwClVBLwOfAr8A3wuK8jldasWUN0dDQTJ04EYNiwYezcuZMbbrjBl6fVaDSagMYvDmml1GJgcSH7XgNeKws5Ro0axZgxYwCIjo5m3rx5xMfHu3mXRqPRVHwCzaxUpnTo0IGQkBBeeeUVtm7dqhWDRqPR2Ai0UNYypUuXLvzxxx/UrVvX36JoNBpNQHFRrxwArRg0Go3GBRe9ctBoNBpNQbRy0Gg0Gk0BtHLQaDQaTQG0ctBoNBpNAbRy0Gg0Gk0BtHLQaDQaTQG0ctBoNBpNAUQplxWxyxUichI4XIohagGnvCSOP6ko1wH6WgKRinIdoK/FTkOllMueBxVCOZQWEdmqlCr3tTMqynWAvpZApKJcB+hr8QRtVtJoNBpNAbRy0Gg0Gk0BtHIwmOVvAbxERbkO0NcSiFSU6wB9LW7RPgeNRqPRFECvHDQajUZTAK0cNBqNRlOAi1Y5iEiYiGwWkZ0ikiQi//W3TKVFRIJEZIeILPe3LKVBRA6JyG4RSRSRrf6Wp6SISDUR+UJE9onIXhG51t8ylQQRaWb7Lux//4jIM/6Wq6SIyBDb//weEflMRML8LVNJEJGnbdeQ5Ivv46L1OYiIABFKqTQRMQM/Ak8rpTb6WbQSIyLPAvFAFaVUd3/LU1JE5BAQr5Qq10lKIvIBsEEpNUdEQoBwpdRZP4tVKkQkCPgTaKeUKk3iqV8Qkcsx/tejlFLnReRzYIVS6n3/SlY8RKQFMB9oC2QD3wCDlFK/e+scF+3KQRmk2V6abX/lVlOKSD3gdmCOv2XRgIhUAa4H5gIopbLLu2Kw0Rn4X3lUDE4EA5VEJBgIB475WZ6ScA2wUSmVoZTKBdYDfbx5gotWOYDDDJMI/A18p5Ta5GeRSsNk4HnA6mc5vIECVonINhEZ6G9hSsgVwEngPZupb46IRPhbKC9wN/CZv4UoKUqpP4G3gGTgOHBOKbXKv1KViD3A9SJSU0TCgduA+t48wUWtHJRSFqVULFAPaGtbqpU7RKQ78LdSapu/ZfESHZRScUA34HERud7fApWAYCAOmK6UagWkAyP8K1LpsJnGegIL/S1LSRGR6kAvoDFQF4gQkfv9K1XxUUrtBd4AvsMwKe0Ecr15jotaOdixLffXAV39K0mJ6QD0tNnq5wM3icjH/hWp5Ciljtke/wYWY9hVyxtHgaNOq9EvMJRFeaYbsF0p9Ze/BSkFNwN/KKVOKqVygEXA//lZphKhlJqrlIpTSl0PpABe8zfARawcRKS2iFSzPa+E8aPZ51ehSohSaqRSqp5SqhHGsn+NUqrc3Q0BiEiEiFS2Pwe6YCyhyxVKqRPAERFpZtvUGfjVjyJ5g3soxyYlG8lAexEJtwWldAb2+lmmEiEil9geGwB98fJ3E+zNwcoZdYAPbNEXJuBzpVS5DgGtIFwKLDb+bwkGPlVKfeNfkUrMk8AnNnPMQeBhP8tTYmx27VuAR/0tS2lQSm0SkS+A7RhmmB2U31IaX4pITSAHeFwpdcabg1+0oawajUajKZyL1qyk0Wg0msLRykGj0Wg0BdDKQaPRaDQF0MpBo9FoNAXQykGj0Wg0BdDKQVNsRKSPiCgRudrfsvgLEXlfRP5VBue501bRda2vz1USROQhETkpInNsrzuJyDlbyZB9IvJWvmOViHR22mb/Lf3L9voTEUkpi89WUzRaOWhKwj0YlS3v9sZgtlyTi4ZiXm8CMFgpdaOXxvMFC5RS/Z1eb7CVDGkFdBeRDk77dmP8fuzcjVH6AQCl1H3AUl8Kq/EMrRw0xUJEIjHKdSRgUw4i0s1W+th+TCcRWWZ73kVEfhGR7SKy0PZ+e8+Gl0XkR+BOERkgIlvE6K/xpS3pChG5UkQ22vaNEZE0p/MMs23fJYX04xCRNBF5zTbuRhG51LY9z52/fVyb7OtF5HMR2S8i40TkPjF6f+wWkSudhr9ZRDbYjutue3+QiIx3kutRp3HXisinGBNkfjnvsY2/R0TesG17GegIzBCR8fmOzzOeGP1J3rONsUNEbrQdV9j2h0TkKxFZJiJ/iMgTIvKs7ZiNIlLDdtxTIvKr7VrmF/njyIdS6jyQCFzutHkDRh0zs+230MR2jCbA0MpBU1x6A98opfYDKSISh1H8q71cqDraD1ggIrWAF4GbbYX0tgLPOo2VqZTqqJSaDyxSSrVRSrXEKGeQYDtmCjBFKdUGp9LKItIFuAqj7lIs0FpcF+iLwCht3BL4ARjgwTW2BJ4GooF/A02VUm0xyqE/6XRcI+AGjFLpM8RoGpOAUemzDdAGGCAijW3HtwX+o5SKcj6ZiNTFKKJ2k+1a2ohIb6XUGIzP7D6l1DAXcjqP9ziAUioa4878A5s8hW0HaAHcaxvnNSDDdsf/C/CA7ZgRQCulVAzwmAefnfN1Vcf4jn5w2qyA74FbMQrg6VVCgKKVg6a43INR3A/b4z22evLfAD3EqJF/O7AEaA9EAT+JURr9QaCh01gLnJ63sN2F7wbuA5rbtl/LhSqgnzod38X2twOjFMLVGBNRfrIBe1mUbRgTuju2KKWOK6WygP8B9pLOu/O9/3OllNXWYOWgTYYuwAO2690E1HSSa7NS6g8X52sDrLMVg8sFPsHoBeEO5/E6Ah8BKKX2AYeBpkVsB1irlEpVSp0EzgHLXFznLowSIPfjedXP60RkF3ACWG6rM+XMfIxVZ7ku/13RuZhrK2mKiRh1XG7CmMgVEAQoEXkeY6J/HKM65BalVKqICEafjHsKGTLd6fn7QG+l1E4ReQjo5E4cYKxSaqab43LUhRoxFi785nOx3RzZ5Axxek+W03Or02sref9n8teeUTa5nlRKfZtHWJFO5L3e/NdSEpzHK2yMosb25Dpvx1BUPYGXRKS5TYEVxQalVHcRaQr8KCKLlVKJ9p1Kqc1ilMc/r5Tab3z8mkBDrxw0xeFfwIdKqYZKqUZKqfrAHxh3p+swSlIP4MKKYCPQQUSagFG8zTZhuKIycFyMlq33OW3fCNxhe+7sAP8WeMTJh3G52KpUesghoLXteS+MToDF5U4RMdn8EFcAv9nkGmS7DkSkqbhv8rMJuEFEaonhXL4Ho7NXcfgB2+dm+4wb2OQpbLtbRMQE1FdKrcVoJFUNiPRUIJvpcSww3MXukcALno6lKXu0ctAUh3sw+is48yVwr1LKgmG+6WZ7xGaueAj4zGZm2IhhenHFSxiT5HfkLZ3+DPCsiGzGqKR7zjb2Kgwz0y82U9QXGArGU2ZjTMibgXYUfldfFL9hTOIrgceUUpkYfolfge0isgeYiZsVulLqOMZkuRYjcme7UmpJMWV5FwiyfRYLgIdsZrHCtntCEPCx7b07gEklaHU6A6NjWWPnjUqplTalowlQdFVWTUAjRtTSeaWUEpG7MXwcvfwtl8bAZgKMV0o94cUx38fwVXzhrTE1xUevHDSBTmsg0bbyGAwM9bM8mrycB7qJLQmutIjIJxgRYJneGE9TcvTKQaPRaDQF0CsHjUaj0RRAKweNRqPRFEArB41Go9EUQCsHjUaj0RRAKweNRqPRFOD/AaIRJI2qiI8TAAAAAElFTkSuQmCC\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制内点与外点的图\n",
    "inlier_mask = ransac.inlier_mask_  #内点的索引\n",
    "outlier_mask = np.logical_not(inlier_mask)\n",
    "\n",
    "line_X = np.arange(3, 10, 1)\n",
    "line_y_ransac = ransac.predict(line_X[:, np.newaxis])\n",
    "plt.scatter(X[inlier_mask], y[inlier_mask],\n",
    "            c='steelblue', edgecolor='white',\n",
    "            marker='o', label='Inliers')\n",
    "plt.scatter(X[outlier_mask], y[outlier_mask],\n",
    "            c='limegreen', edgecolor='white',\n",
    "            marker='s', label='Outliers')\n",
    "plt.plot(line_X, line_y_ransac, color='black', lw=2)\n",
    "plt.xlabel('Average number of rooms [RM]')\n",
    "plt.ylabel('Price in $1000s [MEDV]')\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "#plt.savefig('images/10_08.png', dpi=300)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 10.735\n",
      "Intercept: -44.089\n"
     ]
    }
   ],
   "source": [
    "print('Slope: %.3f' % ransac.estimator_.coef_[0])\n",
    "print('Intercept: %.3f' % ransac.estimator_.intercept_)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "outputs": [],
   "source": [
    "#评估回归的性能\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X = df.iloc[:, :-1].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    X, y, test_size=0.3, random_state=0)\n",
    "\n",
    "slr = LinearRegression()\n",
    "\n",
    "slr.fit(X_train, y_train)\n",
    "y_train_pred = slr.predict(X_train)\n",
    "y_test_pred = slr.predict(X_test)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制残差图\n",
    "ary = np.array(range(100000))\n",
    "\n",
    "plt.scatter(y_train_pred, y_train_pred - y_train,\n",
    "            c='steelblue', marker='o', edgecolor='white',\n",
    "            label='Training data')\n",
    "plt.scatter(y_test_pred, y_test_pred - y_test,\n",
    "            c='limegreen', marker='s', edgecolor='white',\n",
    "            label='Test data')\n",
    "plt.xlabel('Predicted values')\n",
    "plt.ylabel('Residuals')\n",
    "plt.legend(loc='upper left')\n",
    "plt.hlines(y=0, xmin=-10, xmax=50, color='black', lw=2)\n",
    "plt.xlim([-10, 50])\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE train: 19.958, test: 27.196\n",
      "R^2 train: 0.765, test: 0.673\n"
     ]
    }
   ],
   "source": [
    "#残差平方和和R方\n",
    "from sklearn.metrics import mean_squared_error, r2_score\n",
    "\n",
    "print('MSE train: %.3f, test: %.3f' % (\n",
    "    mean_squared_error(y_train, y_train_pred),\n",
    "    mean_squared_error(y_test, y_test_pred)))\n",
    "print('R^2 train: %.3f, test: %.3f' % (\n",
    "    r2_score(y_train, y_train_pred),\n",
    "    r2_score(y_test, y_test_pred)))"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "![](picture/LASSO.png)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.11311792  0.04725111 -0.03992527  0.96478874 -0.          3.72289616\n",
      " -0.02143106 -1.23370405  0.20469    -0.0129439  -0.85269025  0.00795847\n",
      " -0.52392362]\n",
      "MSE train: 20.926, test: 28.876\n",
      "R^2 train: 0.753, test: 0.653\n"
     ]
    }
   ],
   "source": [
    "from sklearn.linear_model import Lasso, Ridge, ElasticNet\n",
    "\n",
    "lasso = Lasso(alpha=0.1)\n",
    "lasso.fit(X_train, y_train)  #LASSO回归\n",
    "y_train_pred = lasso.predict(X_train)\n",
    "y_test_pred = lasso.predict(X_test)\n",
    "print(lasso.coef_)\n",
    "\n",
    "print('MSE train: %.3f, test: %.3f' % (\n",
    "    mean_squared_error(y_train, y_train_pred),\n",
    "    mean_squared_error(y_test, y_test_pred)))\n",
    "print('R^2 train: %.3f, test: %.3f' % (\n",
    "    r2_score(y_train, y_train_pred),\n",
    "    r2_score(y_test, y_test_pred)))"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "outputs": [],
   "source": [
    "ridge = Ridge(alpha=1.0)  #岭回归\n",
    "elanet = ElasticNet(alpha=1.0, l1_ratio=0.5)  #弹性回归"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "![](picture/多项式回归.png)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "\n",
    "X = np.array([258.0, 270.0, 294.0,\n",
    "              320.0, 342.0, 368.0,\n",
    "              396.0, 446.0, 480.0, 586.0])[:, np.newaxis]\n",
    "\n",
    "y = np.array([236.4, 234.4, 252.8,\n",
    "              298.6, 314.2, 342.2,\n",
    "              360.8, 368.0, 391.2,\n",
    "              390.8])\n",
    "\n",
    "lr = LinearRegression()\n",
    "pr = LinearRegression()\n",
    "quadratic = PolynomialFeatures(degree=2)\n",
    "X_quad = quadratic.fit_transform(X)\n",
    "\n",
    "# fit linear features\n",
    "lr.fit(X, y)\n",
    "X_fit = np.arange(250, 600, 10)[:, np.newaxis]\n",
    "y_lin_fit = lr.predict(X_fit)\n",
    "\n",
    "# fit quadratic features\n",
    "pr.fit(X_quad, y)\n",
    "y_quad_fit = pr.predict(quadratic.fit_transform(X_fit))\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X, y, label='training points')\n",
    "plt.plot(X_fit, y_lin_fit, label='linear fit', linestyle='--')\n",
    "plt.plot(X_fit, y_quad_fit, label='quadratic fit')\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.tight_layout()\n",
    "#plt.savefig('images/10_10.png', dpi=300)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training MSE linear: 569.780, quadratic: 61.330\n",
      "Training R^2 linear: 0.832, quadratic: 0.982\n"
     ]
    }
   ],
   "source": [
    "y_lin_pred = lr.predict(X)\n",
    "y_quad_pred = pr.predict(X_quad)\n",
    "\n",
    "print('Training MSE linear: %.3f, quadratic: %.3f' % (\n",
    "    mean_squared_error(y, y_lin_pred),\n",
    "    mean_squared_error(y, y_quad_pred)))\n",
    "print('Training R^2 linear: %.3f, quadratic: %.3f' % (\n",
    "    r2_score(y, y_lin_pred),\n",
    "    r2_score(y, y_quad_pred)))"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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8rcB1LrJlyxZefPFFPvjgA7/1ccUVV/Dcc8/RsWNHdu7cybvvvsuLL77ot/7ORTypwKUsfuxP4rJFr9fXiLtFZQNVBBs9evRg6NChdidw+YKzZ88ybtw4i2GTkpKilL6fOecVv5TSZYSOeT9n+OtHb4vKBqoIRm644QafTOCyR1hYGNOmTfNL2wr7nNOKPys/iys+u4JPd1XMCDQYDKSlpbFz507S0tIsA6muqCnF6yiFhAodVSgUvuKcjupZ9vcyluxdwi+Hf2FIqyFElEVUyrjpKAOnLTWpeM3uJBXVo1Ao/MU5rfhv6HEDn+/+nO8PfM+ty27l+e7PezxRy5Hi9WfIpSrmrlAo/Mk57eoRQvDfMf+lYXhDlqYt5esDXzvd1/ZzcnIyHTt2tKv0VcilQqGorZzTih8guUEyL496GYDntj1HVlFVf75tRk7zZ0dWtyrArlAoajPnvOIHmN5tOqM7jCavNI+nNj1VSWmb/fcxMTF07NiRlJQUu1a+NSrkUqFQ1GbqhOIXQrBw9ELiIuPontQdEaK5dVxZ9o5QIZcKhaI24/fBXSGEHvgLyJRSjhZCNAI+BVoB6cAkKWWuv+VIqJ/Avrv2ERMRU+224uPjq0QDqZBLhUJRW6gJi/8eYI/V50eAH6WU7YEfTZ9rBGuln1eS59bELrvtOKja5etIHHtzDhQKhf851+v3+lXxCyGSgcuA/1qtHgssMi0vAsb5UwZ7/HToJ7q80YW3/qparMFdPBkT8AYVOaTwN57WywXtd/nGG29UWudJHWBf1e89evQoQ4cOpXPnznTp0oX58+cDntXvBcc1fGu6fq/BYGDixIl06tSJzp0789tvv1m2+aN+r78t/peBhwDrIp7xUsrjAKb3pnaOQwhxixDiLyHEXydOnPCpUCcLT3L0zFFm/jCTg7kHfdq2r1CRQ4pAYa/urhl7it+TOsC+qt8bEhLC//3f/7Fnzx5+//13Xn/9dXbv3u1R/V5wXcO3pur33nPPPYwaNYq9e/eybdu2SsnW/FG/12+KXwgxGsiWUm7y5ngp5UIpZW8pZe8mTZr4VLYru1zJ5C6TKSgt4IZvbsAo7f/IA4mKHFJYY13ndsqUKcybN4/09PRK9SHmzZtnqUhlr7aubTvW9XLt1d2118YjjzzCgQMH6N69OzNnzgQq6gADvP/++6SmptKtWzeuvfbaKufhq/q9CQkJlrq69evXp3PnzpYSie7W7wXHNXxrsn7vmTNn+OWXX7jxxhsBLXeR2YPgr/q9/hzc7Q+MEUJcCkQADYQQHwJZQogEKeVxIUQCkO03CY4dg507YeTIKptev/R11qav5efDPzP/9/ncd8F9LpuryQIp5sLv9tYrAoSLDK5e42KsybrObVlZGT179qRXr15Oj3n33Xdp1KgRRUVF9OnThwkTJpCenu60nbS0NP73v/9ZLHp7bcyZM4edO3eydevWKn3u2rWLZ555hg0bNhAXF8epU6cqbXdWv9eePO5W9EpPT2fLli3069cPcL9+Lziu4Wuu33v69Gn279/PbbfdVuk4d2SzV79348aNVY45ePAgTZo04frrr2fbtm306tWL+fPnExUVZanfa6+v6uA3xS+l/BfwLwAhxBDgQSnlVCHEXGA6MMf07lkJe3cxGGDoUDh0CD77DMaNq7S5cWRj3r78bcZ8MoaHVz/MoJaD6JXo+M9k9rnb5vkB/KL8VeSQwoyzOreOsFdb9/fff3fajm3dXUf1eR3x008/MXHiROLi4gCqFFLxpH6vebsr8vPzmTBhAi+//DINGjQA3Kvfaz4nRzV8a7J+b1lZGZs3b+bVV1+lX79+3HPPPcyZM4d+/fr5rX6vU8UvhNjuRhsnpJTDPehzDvCZEOJG4AhwpQfHuk/DhjB6NLz4Ilx5JSxeDBMnVtrl8o6Xc2efO3ntz9e4+qur2TljJ6F6+xa1M5+7PxS/StYWhASwaJE9hRESElLJF2+ujeustq6zuhPWdXedteEIKaXT9j2p3wuurerS0lImTJjANddcwxVXXFFpH1f1e6F6NXx9Wb83OTmZ5ORkyxPLxIkTmTNnDmVlZf6r32vOV2/vBewCWjp5tQK2O2vDF69evXpJrzAapXz4YSlBSr1eyk8+qbJLUWmRHPnBSPndvu+cNrVjxw6Hr71791rec3NzvZNVEZTs3r070CLITZs2ya5du8rCwkJ55swZ2a5dOzl37lx59uxZ2bhxY5mTkyOLi4tlv3795KxZs+SSJUvk6NGjpZRS7tmzR4aHh8s1a9Y4bEdKKQ8dOiS7dOli6dNRGzk5ObJFixaV5IuKipJSSrlz507Zvn17mZOTI6WU8uTJk1XOJTk5WRYVFTk9L3cwGo3y2muvlffcc0+VbTk5ObJTp06Wz8OGDZMZGRlV9nvuuefk/fffb/n84IMPykcffdSt/t2htLRUtm7dWh48eFCWlJTI1NRUuXPnTrv7DhgwQO7du1dKKeWsWbPkgw8+WGn7mjVr5GWXXea0P3u/VeAvaUenuhrcvVVKedjJKx24vfq3Hz8hBDz3HDz+OJSXw9VXg83dMiIkgu+nfs/5cec7jZl35ltXIZcKf+Kozm1oaChPPvkk/fr1Y/To0XTq1AlwXFvXk3q5jtpo3Lgx/fv3JyUlxTK4a6ZLly489thjDB48mG7dulWJkAHf1e/dsGEDH3zwAT/99BPdu3ene/fulvq77tTvBf/X8HVWvxcq1/B99dVXueaaa0hNTWXr1q08+uijPpPDHk5r7gohHgQ+lVIedbhTDeCTmruzZ8OsWdrN4H//g+nTLZus/febcjbRKLwRreu3Rq/XU15eTmhoKNHR0RgMBrcmfan6uOcOwVhz96mnniI6OpoHH3ww0KJ4jKrf6z98WXM3CfhVCPGLEGKGECLOh3LWLE8+Cc88o/lpr78e3nnHssnsv/8x80du+PkGZm6cSUl5iWWSSWlpKQaDgZiYmEqzdR1hPfCrUCgqUPV7gwOnFj+A0EZfBgFXoc263QYsBr6WUvo2xsgBPrH4zcydCw89pC2/+Sbcdhs7d+4EoKC0gEk/TuJIwRGmtJ3Co90rP27ZWvJpaWlO4+pjY2NJSkryjdyKgBCMFr9CYQ9fWvyYxgh+llLOAJqjzca9D6idU0hnztQifQBmzIDXXrNY71GhUbzQ7wVCRAiLDyzmx8wfKx1qq+Tt1ce1JjfX97nnVP4ehUJRXdyeuSuE6ArMBl4HzgL+HX3wJ/fdB6++qi3fdRcNrdw+XWK7cH9XbVDqyU1PcrzwuGWbrXvHnKzNGb5UzJ7m71E3CYVCYQ+nil8I0V4I8YQQYjfwMVAIjJRS9pNSvlwTAvqNO++k0GT5N5s7l6avvWaJ0762/bUMThjMmdIzPPzHw5QZyxxOnnIVV+9ulI8zJW3elpGR4Xb+HpXkTaFQOMKVxf89WrqFyVLKrlLKZ6SUwZnVzAuOXnopGc8+i9TrabpgAc2efx6MRkJDQ3nn8ndoWq8p6XnpHCs+5jTtcmxsrMM+HClma5wpadtt9rC3TSV5UygUjnA6c1dK2QY0N48QwjzDdo+UcqffJasBSktLMVx+OeWRkTSfOZO4jz5Cn59P5lNP0bFjd5ZPXU5CdAJJDZy7c8zuHkc+fVeJ1VwpaVcD8PYijFSSN4VC4QhXKRsaAEvRBnW3AwLoKoQ4AoyVUp7xv4j+w5wILW/4cA6/9hot772X2G++IaSoCJYupXdi5cHw4rJiIkK0aeDWCdvc6ccertpwp21HLiiV5E2hUDjClavnP2hlE9tLKcdLKccB7YE/gWf8LJtPcOY7t47KKbjwQg4tXEh5/frUX7UKxoyBggJAs7if+eUZei7oyeni0265X6yxTltrLZerNkJDQ50qameVv+xFHKkkbwqFAlwr/ouAR6SsSFhvWn7UtC2ocTXAaVtCsaxPHwqXL4cmTWDVKrj4Yjh9muM5x3l/8/vsydnDuA/GkZFZdZDVlRy2g6r23DvWmJW0IwWenJzstPJXTZWHVCgUtQ9XaZnPSimr1DCTUpYJIUr8JJPPcCejZkxMTGVl2LEjrFsHF10EGzZQNmgQZ157jZfPf5mrfrqKtcfW8vqu17njPPer8tj2Cc7dOPYycXqTpbPKuSkUCgWuFX+EEKIHmm/fGgGE+0ck3+G177xjR1i/Hi66iJDt22k9bRpiwQLm9pvLjPUzeGvPW3Rq2InhSe5no7bt05wHyBa9Xl8lz49S4AqFY5YsWcLy5cvJzs7mjjvuYKSdwkuKyrhy9fwDvAj8n81rnmlbUOPIP+7WAGfLlrBuHcXt2xOenk6ba69l6Ok47k25F4BH/3qUA2cOeC2LIzePJy4khcIW23KMtgSiMHpxcTF9+/alW7dudOnShVmzZgGeFUZ3VBQdgqcwurOC6cGGU8UvpRwipRzq6FVTQnpLtQc4mzXj6EcfUdCrF6HZ2bS57jpuP5PCJcmXUFhWyL+3/NutZuz16aiYtaP13qJm7yqsCURh9PDwcH766Se2bdvG1q1bWblyJb///rtHhdFdFUWHwBdGd1YwPdhwNXP3IavlK222PesvoXyFOwOcrhRjk/btObxwIacvugh9Xh6tb7uNF88M5qoOV/Fi/8pZ/0JDQy3VdFwNqup09i+9L8Mt1ezdcwfbIubOCq2XlZUxffp0UlNTmThxIoWFhZb9zBFmroqig+8KowshLP2WlpZSWlpqMcjcLYzuqCg6BEdhdGcF04MRVz7+q4AXTMv/Aj632jaKWpCvx5l/3J06ujExMdCmDZkvvkjZM8/Q+NNP6fjAv3jxiSeod0kqQJVYfHt9uhv378twy5ouF1kXEE87Tsq3YPQCbul1CwALNy3k1mW3OtxXznLfpWeviPmZM46n0KSlpfHOO+/Qv39/brjhBt54441KuftdFUUHzwqju1OGsLy8nF69erF//37uuOMOjwujOyqKDsFRGN1ZwfRgxJXiFw6W7X2udXiiGI1CcPyxxyhr0oT4114jYfZssrOz+WfGbbyx503aNGjDpc0vtVuA3fYG4wi9Xu9UIVvfPNyJ7lGzd88N7BUxd6b4mzdvTv/+/QGYOnUqr7zySiXF76ooOnhWGN2dwuN6vZ6tW7diMBgYP348O3fuJCUlxa3C6M6KokNwFEYfO3as3fX//rd77uCaxpXilw6W7X2udbirGC35bYTgxK23UhYXR+Ls2TR96y2+L9nGgpa/EaoLpUlEE/o06WPZ392ZvWacFadw5+nEFjV71/e4a6nf0usWi/Vf7T7tFDF3VGgdqios28/22rPFk8Lo7ljUZmJiYhgyZAgrV660uKpcFUavTlF0d+WrbmH0O+64w+76YMVVVE83IcQZIUQekGpaNn/uWgPyVZu5c+GttyyTcCvhSAHqdLpKfn9b5Zk7YQJHXn4ZY3g4U//3G7dmJFFqLOWe3+5h/5n9FqXsqWXtTCF7k3RNzd49Nxg+fDifffYZJ0+eBODUqVPEx8eTnZ3NyZMnKSkpYdmyZZb9jxw5YokoWbx4MQMGDHDZni2xsbGUl5dblP+gQYP4+uuvKSoqIi8vj2+//day77p169i6dWuVl1mpnjhxwjKuVFRUxOrVqy31gU+ePEmTJk0sv/3hw4dXqV5nXRs3NjaWq6++muXLl7t9/VzJB9CnTx/27dvHoUOHOHv2LJ988kmlpxozzZo1o3nz5pYxjh9//JHzzjvP4fpgxVVUj15K2UBKWV9KGWJaNn8OerPx9Gmt1O6MGXDATuSlo0IqUspKA6L2yBs6lPS336a8QQNefyeTMZkNyCvNY8b6GWQXZXsclulKIXvjtlGzd88N7BUxd1RoHaBz584sWrSI1NRUTp06xYwZM1y2Zw9fFUY/fvw4Q4cOJTU1lT59+jBixAhGjx4NuFcY3d9F0cF5YXTroujguDB6TRdMrw6uiq1Xdf5ZIaWsair4AW9LL5aWwldfwW+/wcsvV6yfPx/69IELLoDTpw0cO3bM6zDK8AMHaHn77ZRnH2PYzWH8Hn+Wjg078t7g94gOrZqjxxmO/PYGg4GMjAyHx6jC7v6jLpdeVIXRaxe+LL2YA2xFS9T2F7DJ6uWjIrj+IzQUJk+urPSPHIEHHoDBg8HsJanOpKmStm058NFHyE4pfLvoLO1zdaSdTmPedvcmt1jjKNzSlTtHofAHqjD6uYsrxf8qkAusBKYDbaSUrU2vNn6Xzg/UqwcPPwy33ALNmlX4zpcsieHUKfcnqlhPaimPiyPjgw+IGjSKle8bGZMmeOJIe7vH6XQ6pwNr9vz2rtw5CoW/uOGGG6o9gcsRYWFhTJs2zS9tK5zjqhDLPULTUkOAa4FXhRCrgDellIdqQD6f06QJWIUAU1payp49ETzxRDKNGpWxevVe3Al6sbWCzoaEcOD554l/qRnfvPceMIfsjFNk33knmBS9EAIhhEu3kq2iD0R0jqehowqFovbgsti61FgDPAS8BVxPLUjJ7C6hoaHodJLBg89w2WUGi9KXEjZsiMajp1ydjqwHHuDY448jdToav72Q194Yw1f7PrUMrLrz2Gyr0Gs6OkfN+FUozm1cVeCKAsYCk4EmwFdATynlUWfH1Sbi4+MpK8vktdeOYDbEhRBs2BDFbbe1ok+ffN59N92jNk9NnszZxER2vX4fC5qlo9/6H/q06ELHjle5jO23p9DNlnZNWeCBnPEbjE8a7sS9KxSBxNNxSlcTuLKBfcBiYD/apK0+Qog+ps6+8kLGoMKRUi0rKyAp6SwXXphv2ffsWUFWVgjNm7uOz88fOJCOTT/iofen8ULPQiYsuZoVZ4ro3mO8w1m8zhSdo9QT/lCUgZrx680kNX8TERHByZMnady4sVL+iqBESsnJkyedToKzxVU453s4nqErpZQ3ODk2AvgFLW9/CPCFlHKWKUT0U6AVkA5MklLar1JuwttwzupgMBg4ciST0lIID9cuwdKlMTz+eBLTp+fwwAOOI22sSRaCh+YN5u1WJ4k6C993fZ4uo26poqyh6s3H3jpXqSCEENWO1bc3aQ38HzoaqH6dUVpaSkZGRpVZrApFMBEREVEpOaQZR+GcrgZ3r6uGLCXAMCllvhAiFFgvhPgOuAL4UUo5RwjxCPAI8HA1+vEL9p4EsrLCCAmRtGlTUXysqEig01XcHMxYK+C3Xkun+PEUPog5zCXbH2b1oSP0feRVy6CvPUvXNm7fnvXrL5dMfHy83acSo9HIzp07/eaCCcbcQqGhobRu3Tpg/SsU/sBVWubRrhpwtI9pUNjsJwk1vSTamMEi0/pFwDh3ha0pzKmazcrXXN/26afDWLUqjUsvPW3Z95NPGjNyZEe+/bahZZ3tDFldVDTvztvHZNGVvHB4dO/ryKnXQFERoM1sdMdHZxvq6S9FaTvj1xyCah6Ydmew15s6ANUqnKNQKNzGlY9/rhAiE+eZOJ8FltnbIITQo032age8LqXcKISIl1IeB5BSHhdCNHVw7C3ALQAtWrRwIabvcOVnjourbIlv3hzJqVMhNGyoKcXY2FgMhnwyMjLIysqyWMYh+lA+eGwT7RZezYOvrECcWgx/74MlSzyaIGOt1P0Z5mk9pmDPBePsycJbX729Jw2VW0ih8D2ufPxrcZ2F85SUcoLTToSIAb4G7gLWSyljrLblSiljnR1fkz5+V37mPXv2VFLUUsK2bfVITS1Cp9MU1dy58WzfXo8HH/yHbt2Kq/rcd+yAMWMwHk7nnzZNKZr9EkWpqR7JGRoaSnR0NAaDwec+flt27tzpcJu9Mn/V8dUHY1SPQlFb8dbHP8QXnUspDaabyCggSwiRYLL2E9Aih4IGZ+4Tg8FQxToXArp3L7J8LiuT/PBDA44dC0Ovl0gpycjIICMjo0KRde1K+cbfueWJ7qyM/oe1911HzL1PY7j8co/kNBgMxMTEkJ+f71RRVleZevpkUR0XlCosr1D4H1euHq8RQjQBSk1Kvx7apK/ngaVo6R/mmN6r1jcLIDqdzu7MWm1w13Ukj14PX3+9n19+iaZLl4pIkNmzE9HpJDff/A+JiccpOFvAztRkjuX8w0VXl/LL84/SbNcush54AOmmq0ZKSX5+vsWKNit465sMUO0QSU9dMKoOgEIR3LicuVsNEoA1QojtwJ/AD1LKZWgKf4QQYh8wwvQ5KLB1m1gTHx/v9qBpZKSRUaMqKiSdPq1nyZIYPv+8EWVl2iBphD6CV/u/TvfG3TkSA0Ovg/zlH9HqxhsJyXb/Icgsk6PZtseOHfM4j78tnqZ3VnUAFIrgxm8Wv5RyO9DDzvqTwHB/9Vsd7IVHQkVJRE8raplp2LCczz47wObNkSQlVRz/4py2jOjwMWcbTWI3O+l/k44fFm2h/aRJHJ03j8LeVVxzVTArY0ehnY5uZJ6eh60Lxhy1Y899VNMzjRUKhWe4ZfELIa4UQtQ3LT8uhPhKCOFdOfsgxpEyNPv1HRVucYd27UqYNKlintqBA+F8+mljXpvXkZd6vEOvuF4cizYy4GY9e0JO0vqmm2j8/vva6LEDrK1oX1b7coU7uXxiYmLo2LEjKSkpdOzYUSl9hSKIcNfV84SUMk8IMQC4GC3+/k3/iRUYXMWR27o8qkOLFiW88MJR7rori8TGkbw14C0GNRuM3phCcd/rEOXlJMydS/JDD6ErLLQrk7W7xVOZjEaj10nXvCkDea7hzTwFhSJYcNfVYw5luQwtJfM3Qoin/CNS4HBnENPs8nAW4ugInU5ncb+EhsIll1RMBIvQR3BNyEJufbkJl0ZF88fcbrSc9RgxK1cSsW8fR156ibOtWzsMiXQ029YR5eXlXufBCcYZtv7CXkQUVH/AXKEIJO5a/JlCiAXAJGCFECLcg2NrDZ4MYnpqYScnJ3PeeedVal+v16PTVVzGdq2N3DS1jBtvzCH/4mFMeK4vb1/UhIgDB2hz1RQa/vCDwwFSb55GvLXS68oMW0cuLXszrevaE4+iduN0ApdlJyEi0WLwd0gp95ni77tKKVf5W0AITJI2V9hLkOYOjhKw2VrLPx//mTt/vROA6d91572NW7UNM2bAiy+Ck0x8zmr02sPeJCxn+Cs5XLDhaCKaMzy9lgqFP/G25q6Z+miZNKPNKRdqSukHK95ONDJbjRkZGZUsSVsGJwxmZupMABZdspWrbxpKeWgIvPkm5X3P56c30zAa7fuaY2JiKj1JOMMbK93T8E5baot/vCYHzBWKmsRVIZbuaFW3GgIZaDl7koUQBmCGlHKLvwUMZvLz813vZAd3nxKmtZ9G/dD6PLXpKRYnr8E4dzj/felvondso+/tvXj9vVcZ9m5fu77mxMREl08k1Ymt9/bGF4w59x3haCKa9ViNGTVPQVGbcGUWvgfcI6XsLKUcIaW8SErZCbjXtK1O44/BTNvC1uNbjefF818kXBfOp4YfGf5AU37vfSnRFHDXHzeQ+NhjiMJCTp7Uc/RoaKXkaUlJSU77CoRrpjZFBDmaiJaYmFitJx6FItC4UvxRUsqNtiullL8DUf4Rqfbg6NHenMbYG3Q6HSkpKSQnJ1vWDU8azruD3yUuIo4yIQl7ezblb72NMTyc2G++oe2UKax5JZvLLuvAokWNLTekmJgYpwOxgVBUtSkiyJlLS81TUNRmXIVzfieEWA68D5jr7DYHpgEr/SlYbcBR+GdiYiKAw5m+QgiXM2ptZwqnNkpl8dDFhOnDiKoXjf7WmziY0JTE++4j4uBBHj08imzxIt1SR1gUVU4ONGwYz8mTwZPquLbl8VFJ4xTnIk4tfinl3cBrwFDgX8CjpuXXpZR3+l+84MaVRehopm9MTEwVl44ZawVoe3yzyGY0jmhMfHw85cZy7jz9Fs8+P5HcceMIKy/mDePtjHn3FpqZBnYffhi6dm3A+vX1LW3odLqAuiVUHh+FIvC4Fc4ZaAJVc9ebXDPWx3mD+WnAOuzz2LFjloyher2ehIQEfj3xK5d9fBkAU9tPZfaRzrR4dg76vDxo2hTjf9+l96zhbN0azrJl+2jR4iwAxcWCyEjtqSRQyl/l3FcoagZH4ZyuCrGEADeilUdMQivKcgwtlfI7UsoacczWtOL3Jk7dYDBw/Phxj6ppeYtZlqWHl3LztzdztvwsF7e9mE/Pn0fDm+6En38G4OSkyWwY/yhtUioe7O64owX5+XpmzTpGmzYlSvEqFOcwXhViAT4ADMDTaOGcAMloefQ/BCb7UMagwdMi5t5O5vIWsyzTuk2jbWxbxn86nu8PfE9fwyE+//gT2v/3W8L//W8af/YpF/+xkaNz5lDcpQunT+vYsiWKs2cFsbFlgLmwe0U4paMUBdW10N2x8tWTgEJRM7iy+NOklHZr5Qkh/pZSdvCbZFbUtMXvaalB23KMNYVZlnRDOmMWj2FH9g4i9BG8N/g9emXpSf7Xv4jYvx8ZEkL2jBmcuPFGCopD2bGjHuefXwBoyT9vvLEV7duX8q9/FQMnq/RjOxjt6Sxdd56g6spsYIWiJvF25m6uKSWzZT8hhE4IMRnIdXJcrcaTXDT2yjHWJAaDgZKsEt654B0mtplI10Zd6RTTieJOnTiweDE5U6ciysqIf/VVWl9/PbEn0y1KH2DfvnD+/DOaFSvqU1x8ym4f9p5+jh8/7vbsW3di92tTfL9CUdtx5eq5Cq1c4htCiFy0mbsNgTWmbeck7pYa9DQnjq+xtpLrhdRjVo9ZFJcXoxdaxNAJ8tl72zh6DhxI8hNPELVlC+0mTCDrrrs4ec01oNfToUMJX321jyNHwoiI0M63rAzuvLMlw4adYfz4XOzdB8vLyy03PFezb92J3a9N8f0K36Hce4HBVThnupRyspSyCXABcIGUsqlp3aGaEbHmcScXjVnpBgohBBkZGVWs5Ai9lrytXJbzyB+PcM1P17Ao4Rj7vvwSw+jR6IqLSZg7l9bXXUfYIe0r7NDhLMOH51na+OWX+mzYUJ/33ovDQdRpFZxZ5+6ErtaVjJ+KCtwp6KPwDy7z8QshGqJl5kwCpBDiGPC9lNLgZ9kCiquJO47KNNYUrvouM5aRFJXExhMbeXrz0/zZ/E+enP0kzUaNInH2bKK2bqXdxIlk33knOdOmYa3hBw7M44UXjhISIjHneissFDzzTCJXXnmK7t2L7PZpzzrPzMy06wozP0E5C3/1dXy/u9alskJrBk+DKBS+w6nFL4SYBmwGhgCRaGkahgKbTNvqLMHuggjXh/N0r6d5ts+z1NPXY8XRFVz101X82rUR+776ityxY9GdPUuzF1+kzbXXEn7ggOVYc5GYESMqCsZ/+20sS5fGMm9egtN0FNbWmsFgIDfX/lCQuQ1ri88WX95Y3bUulRVacyj3XuBwGdUD9LO17oUQscDGczWqxxWB9u17ysEzB3lg4wPsP7MfHTpu7nQzd3a5k+h160h6+mlCs7IwhoaSffvt5Fx3HYRUfRD8558QPvmkMd26FTJ0aB5CCE6c0PPVV7FceeUpYmM9H+B2lL7Bdh97Fcc8xVVufbNl7+jpw1dyKCpw9J2oa+07vI3qEWiTtmwxmrbVSWpbpEmbBm1YPGwx17W/DolEr9PcOvkDB7Lv6685NWECutJSms2fT9spU6i3Y0eVNpo1K+Pee7MYMkQbCxBC8NlnjXj11Xj+/e9Ej2VyR+mDY+vP05z+rvoyW/bKCq05VPqOwOHKx/8MsFkIsYqKJG0tgBHAv/0pWDBTG5VAhD6CB1IfYFTzUXRoWPGgtqf8GEVP/IvTI0eS9PTT1Nu7lzbXXMOpyZPJuvtujPXrV2rH/D81Go306ZPPrl0RTJlSEft/9GgYBw6EM2hQHs5qwTizrq1xFELraU5/d240zp5+1SCz7zF/V2o8peZxmavH5Na5GG1wV6DN4P1eSlljcfzB5urxpiRfMHKq5BTjVo0jNjyW//T+D6kRbWn61lvEvf8+oryc0iZNOP7ww5wZObJC47vg3/9O4LPPGnPTTSe45x77T0aRkZGUlpa6vIb2JnA5c7M5chEYDIZK+Y5cUd0Ja85QA8eKmsTr0otSylwp5SdSyv+TUs4zLZ+zk7fcwVHWzdrGqZJTNAxryMG8g0xdM5UXDyzgyD13sP/TTylMTSX0xAlaPPggLW+/nVA3xzTatSshKekso0cbLOsOHQojI0OzmCMjIykqKnLrxml7jV2F0Npr03yMu0rfHLrrjyIrauBYESx4nZ1TCLFDStnVx/LYJdgsfqh+Fs5gobi8mNd3vc6ifYuQSFpEteDhbg8zKH4AsV98QbOXX0afl4cxIoLsW28lZ/p07M7ossJopJKb5557WrBmTX2eey6Dyy477ZF81ta2OwO0tha/p09nycnJfrPA1WCmoqbxyuIXQlzh4DUBaOY3aWsB1hWYkpOTfeoDjo2NdTjpydeYff/vD3mfNvXbcKTgCHf8egdzd/4fuZMmsW/pUgyXXIKuuJhm8+fTbtIkojZWKcpWCWulbzRCgwbl1KtnpF+/ilQRmZmhlJS4fmqynhjmTIE7GhT0ROnr9Xq/ul3UwLEiWHDl6vkUGANcbvMaDUT4V7Tag/km4Avlb7ZwO3fu7PMbijO6N+7OFxd9wYNdHyQ6NJqhCUMBKIuLI+OFF0hfsICS5s2J2L+f1jfdRPP77nPL/aPTwb//ncmaNWnExZVZ1j/8cHNGjuzIzp31XLZhVozOroUjd4wn18/fOZfU7GRFsOBK8W8H5kkpr7d9oaVrVljhyPev0+mIjY2t5DeOjIx02I7Z52uu4lVThOpCmd5hOj9c8gMXJF5gWT9v+zw+a25g31dfkXXXXRjr1aPh6tW0HzuWpq++iigsdNl2ZGSFj/3MGR0lJYLSUkGbNsWW9adP2/856vV6h24SIYRT94wn4zH+VsAqfFERLLiawDUQOCylPGJnW28pZY043oPRx+8IRwVZ7EWGOErnbPb51nSef2tiY2PJzc1lV+4urvpJy8fXK64X/+r2L7qUxNDspZeIWb4cgNL4eP65/35OX3KJ29E/UsKxY6EkJWnK3GiEyy9vT1xcGXPnHqVp0zIXLWiYK5I5c9HYRtKEhoZSaOdmFRsbS1JSklv9eouK6lHUJF5V4Kpmh83RirQ3Q5vwtVBKOV8I0QjNhdQKSAcmuYoSqk2KH9wfxHOV9z+QYaOhoaGUl5dTVl7GkvQlzN81n1MlpxAILm1+Kbefdzsd958i8bnnqLd7NwAFPXpw/JFHKD7vPI/7O3gwnGuuaUODBuWsWPG3JXVQWZndicQOZXZHkdbGQVZ1w1B4g9fhnEKIpkKIKNNyPSHEY0KIOUKIBBeHlgEPSCk7A+cDdwghzgMeAX6UUrYHfjR9PqdwdxDPlc83kIN+paWlGI1GdELHFa2v4NuR3zK13VT0Qs/yo8sZs2oMj8ll7P/4YzKffpqyRo2I2rKFtlddRdLjjxP6zz8e9demTQmrV6fx8stHLEq/uFgwenQH/vOfBLcGgt0Nj6zpQVZPZxnbO16FgSp8iUvFD3wCNDYtPw20QyvC8rGzg6SUx6WUm03LecAetElgY4FFpt0WodXzPadwdxDPlc83mAb9GoQ14OFuD7P84uVc0eoKy3qh15N7xRX8vWwZOdOnI/V6Yr/5hvaXXUb8iy+iO+1++GZUlJHOnSt8/hs3RpOZGcbOnfUIC3PvyVRKSUZGhlOl6Oz7qa6StsUXSlsVqVH4Glc+/unAbOAJtFm7s4EXgHxgFvAUsFVKud1pJ0K0An4BUoAjUsoYq225UspYO8fcAtwC0KJFi16HDx/24LQCiydlBJ09wgcqGZztzFV7pOelEx0aTVxEHAA/Zv7ItlPbuDXqYjq++R4xK1cCUNagASduvplTU6Ygw8M9lmXfvnAKCnSWVNC5uXpuu60VV155igkTch0OKTibbeto7ESn01WZ6FXdWbvO3HXuzhlw5RJUbiCFI7zy8QshWgLfA9eiVd56FpiIdhP4ApgAnJZSOjTrhBDRwM/AM1LKr4QQBncUvzW1zccPvvPJ1nQ9X1dZKu1hlEbG/zCeg3kHiQqJYlKbSVxf3pser71PtCnm/2yzZmTfeSeG0aNxu7qLHRYtasy8eQkMHJjHG284Nwb0ej1SSosy15kmGBiNRvR6vdvXtTq+f2dK292birMxCUfV4lStYgV46eOXUh4G5gPLgM+A2aYIHwnkSCmPuFD6ocCXwEdSyq9Mq7PM4wOm92xvTijYsZ7g1bFjR6//hM6Ukz/TRngSBqkTOp7t8yz94/tTUFbA//7+H8MO3sOUW5qw4pVHKerQgbB//iH58cdpd+WV1P/5Zy2sxwuuvvokc+Yc5dZbK342hw+HMXNmMtu3V54TUF5eXsmCNxqNls+e3Eyr4/t35q5z113jzCWo3EAKb3AnV8+bQFsgWUq5zLT6JDDF2XFC+6W+A+yRUr5otWkpMN20PB34xlOh6xI6BykudTpdlZwysbGx1b4ZWGe6tG7fFV1iu/DWgLdYPHQxo5JHYZRGlh1dxmWnnuWdV+4g49lnOZuQQMS+fbS8807aXH010b/84vENIDQULrvsNN26VVQB+/jjxqxcGcPnnzfyqC33+/R+rMXVDdSdm4qzUqBqNrDCG/wZzjkAWAfsQAvnBHgU2Ij29NACOAJcKaU85ayt2ujq8RXOXD32fMS+GhfQ6/XodDqvFUhmQSYf7v+QtcfXsmTEEsL14YiSEg5/9hKD/7eCqBNaBG9h165kz5hBwcCBdgs/uMM//4TyySeNuOQSAx07lgCwc2c9fvstmokTvSsSY0118/d4k1HUXWpjaKqi5qjxOH5fUpcVvzc+YmfH1DTlshy90Hz6eaV5jFgxgjARyqSCttz+2X5S92uewsLUVLJnzCC/f3+3J4E548EHm/P99w2dpod2B71eT+fOnastjycD/sHQbnU4lwaba/u5eB3Hrwgs3viIazIM1FX6CbPSB8guyqZ5VHNySw0sCNtEt6mn6ft4Iv/tH4lx73ZazZhBm6lTid6wwesxADMTJpxi8OAzTJ5cUSRmy5ZIfv65PtaBO5GRkU4T4vlqYN2ZuyYY2/WWc2nOwbl0LrYoiz/IcSdtQ0pKisfH+AJHUSWOiI2NJTExkS9/+5JP93/KiqMrKCzTUidEyzD2/rceSZnaE0BR587kXH89p0eMcH/qrgtuuKEVf/4ZzaxZmUycmGs5B3DuE7e9vrUdf1qx55Lr6Vw4F0cWv1v/KCHEFcDzQFO0UE4BSCllA59KqaiC+Q/pzEfs6BhHf25fpIIwR5UcO3bMLaUvhCAqKgohBBeddxGdG3ZmZupMvs/4nq/Tv8YojZz+aiH6xYtp/P4i/he9h5FzHqLD/CRypk8nd9w4ZL2qmTzNbg1wfI1AywU0aFAeBkMIo0ZVBKL9+WcIcXFlJCe7d97eKs1gcRm4U7ayOrKeS4PN59K52OKWxS+E2A9cLqXc43+RqlKXLX4zvvTluvNEYG8Slzn23awMwLmytcXaUrItZFNYVkhkiOYy2pe9kyvWaUFjPY/BlbthfEYDYi6dyqkpUyg3na+tUnJnzoOUFUMIUsL48e05dCiMd945RO/eVRO32crszXcQTH54V1ZsdWU9F6xkM+fCuVTL4geyAqX0FRqOrHio+IG6a5258xRhPYnLUbtpaWkenYP1n8hWBrPSB9BF1GN0i9GsObaGzYkFbE6Ef3GGnsfe4MonFjIlaTyxDz5KAxsXTEJCghs3tIrloiI9ffoIysqMlpnB2nmF07r1WcLCJKWlpezevZvExESnMfPOrrm3x/kDV1ZsdWV1NKHMndTTwfJUZKY651JtcnMhMhK8mO3uDu5a/PPRsmwuAUrM660mZfkVZfHbp7rWWXWP9zR6yNZScuVyKikvYUPWBlZlrGJtxmoKZAkNiyF7LoQZBVx2Gduvv5TOl99AQUGRy9nGOp0OvV5fRbGcPQuFhVo67aIiIyNHdkBKwSefHCAhwf3HekfKylXKhZrElRXrC1m9UeDB9FRkK1eN3oy2bIHXX4ePP4a33oJp06rVXHUt/gZAITDSap0EakTxK+xTXevM1VgA2P/hm4/xBHuWkitfabg+nGGJwxiWOIziXsVs+GcD+Zl7CbumED75hILvl9Gn+zIiNt3JAH07+nW9ggtbDqdZpP2qoEaj0W7hlrAwCAuLISYmhh9+OEhcXBlSQrNmFfJlZ4e4rBFgz18OmlJ1pGxrGldWrC9kjYmJ8Vg5BtNTkTXenIvHlJTAF19oCv+33yrWb9lSbcXvCBXVU4vxtyXpaCzAnSRu1jhzFXk6UGZR2idOsOftZ5mQ/Rp7Yisr5A4RLbiw+TCmtp9KfL2qj+XOLMmdO3cipZYMrlEjbbzg9GkdI0Z04rzzili48DBhYcYqx9mer/WTTbBZs64SA7qS1R9WcDA9FdUYR47AggXw9ttw4oS2rmFDuO46mDEDfDCO4JXFL4R4SEr5ghDiVag6sVJKeXe1JVN4jb8tSXtWGOC20nc1CBYfH+/R4HClYuhNmtD50ZfYXTaX9a/MZtNvH/BTSDo/toG/OcLf+97j9vR4xIgJyHr1WHF0BXqhp1dcL+Ii4hxakuZralb6AGlp9dDrJeHh0KZNokXpFRcLIiKqXgvb78SdJ6uaxJkVa15vXUXOOuWEO1FB3hBMT0V+pbwcVq/W3DhLl2KZVJKaCnfcAddcA1FRfhfDlavHPKCrzO0gxN+DT9UNW3N1fExMjEeKv0GDqtHDhvx8YkZOYvjISVx64ABRn37Ejq1L2dK4hD7rn6f82dc4PWoUC3r+ysHS4wC0jG5Jz7iedE3rSpfYLrRv2J7I8Eji4+Pt3oz69i1g9eo0IiKSLUozPR0uvLCcceNymTnzn0qDxo5CbGNiYizWckZGBllZWQEfwHSEbXI7s3L3l0smoAOpNcHff8N778H774PpWhIaCpMnawr/wgt9MmPdXZwqfinlt6b3Rc72UwQGby1Jdx/VHVlh7mJWgM7686SP/Pz8KuusxxpK2ral5NEnaZ5/PykrV1J45msit28n5qsvuSEb1naqx6+JZRzOP8zh/MN8nf41ALd2upU7u9xJZmYmZ8POctBwkDYN2hCqq1DgUVFGkpMrlOF330Fenp7c3JBK/1cptRteWlqa3fESf1jLvsaZcvdXbHuwPRX5hDNn4LPPNIW/YUPF+rZt4frr4aabIEA3Nt9MiVQEDE8HnzxRPp7MyrXFbK256s+TPuwpF3vrjNHR5E6cSO7EiYQfPEjMkiU8/M03PLbuFGU62Jyo46chrdnYsQHbIk6REqv5kKWUfLbrM+Zsm0O4Lpx2DdvRtkFb2jdoT9sGbel0thNDew4FNBfsgAFw9qzOcvPatSuCxx5L5sYbT3D55aerXNdgHcC0xZly96dLpkYGUv1NeTmsXasp+y+/hCJTmHB0NEyapPnvBwyoUeveHkrx1zE8UT72rDBnlp15u7kAiiM3jnV/9vowGo12J2LZKhd3cqaUtGlD1v33k3XXXdRfv57Yr7+mzy+/0PfDAwCU16tH3pAVnB5lJH/AAPRCT4uoFhwpOMKu3F3syt1laSsuIo4TPU9YPq89/SqhZ0NJLEkkOSqZr79O4MCBCNLS6nH55aerXNfaMhPUmXL3tUvG3afPQMb4u+zbaIT16zXr/osvwDribcgQTdlPmKAp/yBBRfXUMaobPeHNzE9P+3MUWRITE0N+fr7LG4QrQnJyaLhiBQ2//57I7RVVQ8ujozkzbBinR40is+d57C9K58CZA+w/s5/9Z/YTFxHHihtWAHA85zhJrychTTEPOnQ0i0wgsrg1HZskc22XcXSJ7cL69dGs+bk5Dz2oJzq6dswEdRXZ4ysl7G60UyCjohz2nZBAzN698OmnmrI/dqzioLZttUHa6dOhTRu/yueK6ubq6QC8CcRLKVOEEKnAGCnlf3wsp8LPVPdR3ZXF5ygSyJP+7D0FREdHYzAYKrmMvKUsLo6T06Zxcto0QjMyaPj99zRcuZJ6e/cSu3QpsUuXktywIZ2HDydv8GDyzx+NjIwk2ZTQx2AwcODwASa1mcTR/KMczj/M8cLjHCvMBDLZnwUj21xAl9gufPRRE9bzAkuXzaF14ySahDYhITLB8moe1ZxLUi9xS25XCtdXCtmVv91XLhl3nz4D6SKr1HdZGZHbt9Pgxx+JWrUK/vmnYsdWrTRXzuTJ0KNHwF05rnB35u7PwExggZSyh2ndTilljQTYKovfd/jCenKmYNyZzetuf7b5fDzF0/kGYYcO0XDlShquXEnEwYOW9cbwcArOP5/6U6ZweuBAMqSs0m6psZTMgkyO5B/hSP4RRiSPoFlkM6RMZvqnj7E55HW7fbZu2JqD91b0Neh/g4gKiyIxOpGkBkkk1k+kWXQzImUkUUVRNAxrWOn8rK3wQFrF3txw3H36DGSM/+4NG6j/66/U//lnotevJ+R0RYK/0oQEyidMIGLaNOjd2+fK3hc38urO3I2UUv5hU0LO+TRGRVDii+gJZxafO+MA3k7h9xRPjz3bujUnZszgxG23Eb5vHw3WrKH+zz8TuWOHVif4559pCISddx5nhgwhb/Bgijt1Ap2OUF0oreq3olX9VoCWHiIxMRGQfHTNneQUXEX22WwKQ4t4+NkcjhUcofdFh+nVLs7Sf3FZMeuOrHMo3+PdH2dy28kArM5czfv73qdJvSa0a9YOXbGOmJAYGkU0olF4I3o27gngE6vYkwlfnkQqufv0WaMx/lJqoZfLlsGyZXRetw5h5U4sadGCvMGDOT1yJEWpqQi9Xru5+kHp+zMCzF3FnyOEaItpEpcQYiJwvNq9KwKCP6MnHLmCPLU83XUZ+QUhKOnQgRMdOmC4806aAQ3Xr4elSzGuWkW93bupt3s38W+8QVlsLAV9+pDfrx8F/fpxtkULMD1pFBQUWNxTMeExxITHICXMGhXNN9/E8u40SXx8DKCNC0ZEhvLXTZs5XpDJsbxjZJ7R3rMKsjh04hDJURW5o9Pz0tlycgsAqzJWVRK/nr4ef4z7A9AUxrBFw8gtzqVpVFPtFdmU+Oh4mkY1pVdCL7rGd3V4KVwpoOPHj3vthnF3oNjvMf7//ANr1mivH38Eq6c9QkLI79uXvEGDyBs8mLOtWlU61F8uJ3+7t9xV/HcAC4FOQohM4BAwtdq9K845fBWPHQyRLrGxsZZc/4b4eLIGDKDsiSeI+uMPGqxdS/T69YQdP07DVatouEpTvmcTEijo25f8fv3IO/98ZJMmldoUAi68MJ8LL8znxAkt+WJUVAz33w+ZmXpWr+7B6OE9qshi6+4Y12oc3Rp342TxSU6WnORUySnLS2dVWC80NJQd2TvIKcyxe46PD3zcovhXHVjF5C8m0yy6GfFR8cRHxxNeGk5saCxxEXFcnHwxkSGRlSq/ORpcd7eIPLj+rfg8xv/UKfj5Z/jpJ+21e3fl7Y0bw6WXwujRiJEjKQPO+HEOgydt+qovtxS/lPIgcJEQIgrQSSnzfNK74pzEF08U1Z085gtOnz5tiSKyEBFB/qBB5A8aBFISdvQoUb//TvTGjUT98Qdhx48T9s03xH7zDaC5Bgq7daOoWzcKu3WjuF27ShXFsrKyaNkyhvvugx9+gGHDKlwr338fQadOZ2nevKpXNS4ijriIuCrrbYmPj2fzLZvJLsiu+irMpk9SH8u+/+T/g6HYgKHYwN6cvVXaGpY4zLJ8+y+38/fpv2kS0YQmEU1oWq8pzeo1IyEygXYN2tGxsXtRSu7+Vrz+TUkJBw7A77/Dxo3aRKqtWyuX9oyMhIEDtYs/bJg2OGtVjjPG1L+ziDZf42/3lruDu88CL0gpDabPscADUsrHfSKFC9Tgbt3D1WBlsBSUDw0Npby8XEtxYDQS8fff2o3g99+J2rwZnXkCj4nyevUo6tq14maQkkLnwYMt283nnZcnuOiijhQV6Vi+/G+Sk727CXoy+GmURk4VnSIrP4t/8v8hqyCLHYd2kF2QzamSU8zuNduSt2fijxNJM9ivxzCm5RgWjVtETEwMB3MPcuuyW2nRoAWtY1vTrlE72jdqT9tGbYmJiPHqnJxy+jT88Yem6M3K/uTJyvuEhWkpEoYNg6FDoW9fbZ0LanIA3Vd9ORrcdVfxbzFH81it2yyl7Om2BNVAKf66ibNBRV+Vj6zuOEJKSgoGg8HuZLXY6GiK//iDelu3Erl9O5HbthFmb1Jbs2bQrRukpnKsaVMK2rQhs357Xnw1mZycUBYuTLfs+tdfkaSmFhEWVv3sqO7gcE5F0xh2Hd7FsbxjnCg+QVZRFscLj3O88DgDEwby9OVPA5r76OIPL7bbdlxkHOuuX0enuE4AbDq2Cb1OT6e4TkSERDgXzGjUfPHbt8OOHRXv+/dXtuZBS4tw/vnQr5/2fv75YKeMp7vXo6Ymkvkzqsddxb8d6COlLDF9rgf8JaXs4pEUXqIUf/BVJwo01Yn6sa0rUJ0biFnxO7LOAI4dO2ZJeqbPybHcBCK3bSMyLQ1hJweRMSSEkrZtKW7fgbOtW1HSogXHo1pzyV0XEdo4kuXL/7abGdQV3vx2HP323LFKTxWd4o/MPzhsOMzB3IPsz93P/lP72X9yP4Vlhfw65lcaRTYiPj6eKcunsHL/SnRCR9vYtnRp2oUusR3pIuPolVefDhlFsHOnpuR37YLCqqUyCQuDnj0rFHy/ftCyZdDH1fuL6ir+h4AxwP/QIntuAJZKKV/wtaD2qOuKP9jyudcU7kxYcpbd05w6wqJ09XoSEhLsXjPbvtydFZySkuJWbVaDwVAp1bE53DOmQQM4dEhTZtu2kffrr4Tv2WP/ycBEblgTws5L4myLFpxt0YLj4S1o2LkRpU2aUBYfj9FFWl9f/na8rbaVkZFBdlE28bqGhOTkEJqTwwtZ/2Nt/nb2G3MoF5X10rStsGiJtpwTCZ92gV5lTejWrDv1uvaArl211MadOrnltqkrVEvxmxq4BBgOCGCVlPJ734romLqu+M+Fos+e4sl0fnvK35ziwXq2r6M23O3fFnfKFZoH6TydvyDy8wnft4+Iv/8m/MgRwo4cIezoUcKOHEF39qzTNsojIylr2lS7EZhe5Q0aUF6/PuXR0RgbNEDExtIiNRViYrRXRIQ2oOmtZWw0Qn6+lpHy9OmKl/XnEyfg+HEKDhxAn51NyIkThJw5U6WpEj2kxcGuJrArXrCrZT0uL2nFDfUHwXnn8W1iPmN2PgqAXuhJaZpCr4Re9E7sTd+kvnRv1h29Tl+l3bpItRV/IKnrir8uVify5GZnMBgqu1NMlr0jN467N0xnM4etbyDujjd4M2NZp9MhhKh4+jAaCc3O1m4Ehw9z7Od/SF9/mpTGR2gTnkHoiRPoiotdyuJAQM1aDg0116OsWNbpoLRUe5WV2X/3AhkSQlnjxtpNqmlTGnTvruW6addOe2/RQpPBio0ZG3nzrzfZdHwTu0/sxigrV0Q7+dBJGtVrBMDenL20bNiSeqHe+fRrO14pfiHEeinlACFEHpUrcAlASimrVsbwA3Vd8dcFi9/WZeBMkbp7s/PlDdOT2auu0Ov1lJeXe+xvd/Q7yM/XUVoqiI0tByn560cjr/5Lx/QRe7ni/H2E5OSgy89Hf+YM+rw89Hl5hOTnU6+kBAwGyM2F4uKqg6KeEhWllQ5s2BAaNKhYNr8aN4aEBI6WlVEcG6s9icTEaDcVvPs9F5wtYOs/W9l0fBN/HfsLQ7GBpVOWAtqEp+YvNedE4Qn6JPZhUMtBDGo5iIEtBhIV5v8qV8GAVykbpJQDTO/1/SWYwjXnenUie7NDHeFJHLMvY6GdxZHbm2Dk7BzM1rt5FmxBQUGlrKOObgaOahdER1tZvELw+95ENhc3YVDbZhjGdDb1qelXISqePOrZ9lFerlnuZ89qL/Nyaam2LTRUe4WE2H83KXBXfv/6BgNnfPR7jgqLon+L/vRv0b/KttMlp2kc2ZhjecfYcHQDG45u4Ln1zxGmD2Nwy8E8OfhJBrQY4HGf5wIuXT1CCB2wvaYSstmjrlv8cG5H9fjaVWImkIPi1Qk3dSajqwFt0ArSHz0aQ2KiZmQbDAb++99CFixoxD33nGTq1Ci3zt/bgVt3x2Zq6vecW5TLhqMbWHd4HT+l/8SmY5uQSH6+7mcGtRwEwJpDa8g7m8ew1sOIDguevPnVxeskbVJKoxBimxCihZTyiAcdvguMBrLNNw0hRCPgU6AVkA5MklLmuttmXcaf+XUCjTvFXcypmc31at1VFvbyndQE1ale5iwni3mdM+Wv/VYqf167Nob9+yEiIgl3fkbeJglzN8eMJ7/n6t4kYuvFMrrDaEZ3GA3AiYITrDqwiguSL7Ds8/yG5/n+wPeE6kIZ2nooV553JeM7jadxZGO3+6lN6FzvAkACsEsI8aMQYqn55eKY94BRNuseAX6UUrYHfjR9VtRxHLlezD7flJQUSxlH803CrIgMTqpwWdfjdWe9L4mJibHE8XuDs5thTEwMer39qBVH1/Krr+Djj7X6IGZeeQWmTNHmPdniTIF7I7e3Tz/mG5An37srmkQ14ZrUawjVV1yrYa2HcX7y+ZQZy1h1YBU3f3sz8fPiufjDi/lu33de9xWsuJuk7WlPG5ZS/iKEaGWzeiwwxLS8CFgLPOxp24pzC3fGMLzJVuhKCfnb3WBuyxvL39U4REJCgt12HRV6DwvTlLwZKWH+/HIOHtTTv/9hwsKKKx3jrQL3dY6ZmirC8lD/h3io/0PkFOawZO8SPt/9OT8e/JFVB1YxtuNYy37/5P9DqC601j8JOFX8QogI4DagHbADeEdKWZ08/PFSyuMAUsrjQoimTvq+BbgFoEWLFtXoUhHs2BsctVVc3igiZ0rI3/nOzdieW5XwTDu4M9Bp26417pzL6dMGFizI5ttvGzJoUB6lpdoN6tVXwwkJqcewYeFERZVUOc6VAvd1IEJN1ymOi4zjpp43cVPPmyw3gTEdx1i2z90wl1f+eIWxHcdyY48bGdl2ZK2cM+DK4l8ElALrgEuA84B7/C0UgJRyIVoqaHr37h38kw0U1cKVz9cbS9KZEqrJcn72zs3Z4K+7g8/mdu215epcsrKyaNaslJtvrigeX1AA8+aFceYMrF7djOjoIx4rcHdu4p5Qo0VYbDDfBKzJLc5FSsmXe77kyz1fktwgmRu638D1Pa6nVUwrv8vkK1z5+M+TUk6VUi4AJgIDq9lflhAiAcD0nl3N9hR1hPj4eEtmSDOuFJHZz25WEqGhoRal6k9L0mAwkJaWxs6dO0lLS7Prj3Z0PsnJyR4rSW/Oxd62iAjJCy8c5f77oVevcnSm8MxFixqzbl0DEhLcvyGZx2Y6duxYrRupN9+7P3l37Lscue8Izw57lraxbck4k8HsX2bTZn4b5v06LyAyeYMri9/y65BSltl+AV6wFJgOzDG9f1PdBhV1A28tSUdPEr6wJO2NEQBuuZB8aRl7cy72jtHpYMiQEiZPrnCD5eSEMH9+PGVlggsvzKNRI8fn7q+os0BFZjkisX4i/xr4Lx4e8DC/HP6F/27+L1/u+bJSlNDuE7upH1af5g2bB1BSx7iauVsOFJg/AvWAQtyYuSuEWIw2kBsHZAGzgCXAZ0AL4AhwpZTylCshVRy/wtdUN8Y/MzOT3NzKkchCCHQ6nV3/vTezUt1Vro5mDlsSwbl5jPn8rccN8vN1fP55I44dC+Wpp3Lo2LEjBoOBl18u5IIL8khKKq10rK+VfyBmrXs1f6HYQMPwhpankxEfjGBt+lomd5nMAxc8QI+EqlXVagJvZ+56PWohpZziYNNwb9tUKHxFdSxug8FQRemDZolWpxShbR/uDj6bP1tn/wQwGo0uj7F3/tZzBKKjjVx/fY5JBm3dr7/m8vTTrYmMLGfNmr1ERspqjY84U7Q1Pbjr7aC/dVGZs+VniYuMQ0rJRzs+4qMdHzG01VAeuOABLml/CTrhbhS9/3A3nFOhOOfwZBKRNd7MA/B0MNLTweeYmBiysrKq3HhcHeONG0yIUi6/PJf69Y1ERkpTP7ByZQStWml1hN3FlaKt6cFdXwz6h+nDWDxhMXOGz2H+xvn8d/N/WZO+hjXpa+gU14mPrviIngk1UsPKIUrxKxQe4sza1Ol0SCmrHc7oqwFbV8fYs7ZdhWS2aSN59tnMSjndNm2K5N57W/LOO7Btm/vZnV0pWk/DQ6s79uDLJ4yWMS158eIXmTV4Fm9vfpv5G+dz2HCYFg0DH54e+GcOhaKW4czaNBqNCCEsM2utI4l80YerAVtP1juaFQs4jIaCikgba+VeXq6jS5dyxo+vUPplZdpNwLZP64gnV4rWHJlljjACKi27cz6ezPL15rq7omFEQx688EEO3n2Qn6/7mbjIOE2+8lKGvDeEhZsWUlruH9eVI5TiVyg8xF6IoTVGoxGj0UhycrLX4YyehDGalamjugGOrGNX1rajkEx7YbITJsSwY4eexx6raOvrr6F7d7jxxgo5bRWzI2wVrbWc5eXldhW6t2kmrPFn+GioPpQ+SX0A7Vq88uMr/Hz4Z25ddisdXu3A+9vep9zouuqbL1CKX6HwEFvFZw9PFY6rPhw9OdgqU2tcPW1Ux61h78ZgruNiJjsb6teH3qaYkqysLAoLIS/PudrxJF2Hr87H+rzcue7VwfydjUgYwdx+c2kV3Yr00+lMXzKdlDdT+GzXZ1WKy/ga5eNXKLzAemDUUcGX6kaeuDP4bE8pgnvhjv4eOL3jDrj22ooCWqWlpXz1VSNeeSWee+7J4uqrKyK5nZWodFeh++p8vB30dxfzd6YTOkYlj+KixItYcXQFb+55k705e5n8xWQu73C5paCMP1AWv0JRTfzhF3aX6li5NTErtkEDqGeqehgaGsrff0dQWKinSZOKlF9ShtGhQ0eSk5MBLeW09Yxnd69vsM3ydYTtdxOiC2FMyzEsHbmUBaMXkNwgmXGdxvlVBqX4FYpqEkiFU52bTk24NayJj49n9uzjfPnlPoYO1YqsCyFYtKgFXbqU88UX9tNuu3t9a/p8vMXRdxMZHsktvW5h3137mNZtml9lUK4ehaKa+DL9gqdUNxumK7eGL1MzmI8LCcmitFRTgE2bxvPDDxHs2QNhYRV+be10ND++2WXljhz+dtP4AlffWURIhN9lUIpfofABgVI4/rzp+CN1tb3r9OefsGDBYXr0KLSse+aZBM6c0XPnndl07Fg7FLq7BNJQMKMUv0JRy/GXUqyp1NVhYTByZLElJURhoeDbb2MoLNRz110uU3nVSgJ9I1OKX6EIcmoyE6Y1NZknx9r9ERkpWbJkP7/9Fs0FFzSynP8TTzShefNy7r47lJYtY3wuQ11CKX6FIoipqUph9qjJPDm27o8WLaBPnyhAy4R65EgIX3wRS2ioZOzYv2nY0P/nfy6jFL9CEcTUZKUwW3xdRtEV9twfaWlpSClJSirljTcOc/hwGI0alVnO/957YeRIGDVKqyegcA+l+BWKIKam0xJbEwyDkObz1OlgwIB8BgyoWP/77zB/Prz/PmRkQGRkjYlV61GKX6EIYgJZcxYCPwjp7Pw7doQXXgC9vkLpl5fDs89qM4ZbtapZWWsT6uFIoQhiastsVH/h7PxjY2HmTLj//opty5bBk09q7p8AV2gMapTFr1AEMcHgbgkknp5/u3YwdSqcf35FeujCQvjqK7jySs+KxJzLOK25GyyomrsKhcJbFiyA226Dyy7TngjqEo5q7ipXj0KhOKdp1gxSU+GaayrW5eTA1q0BEyngKMWvUCjOacaO1ZT85MkV6958E3r0oFLhmLqEUvwKheKcR4jKcf5CaEViLrqoYl12Npw+XfOyBQKl+BUKRZ3j8cchMxOGDKlY9/TTkJwMn34aMLFqDKX4FQpFnaR+/YrIHynh6FHIz4eUlIp9zpw5N8NCleJXKBR1HiFg6VLYvx+6dKlYf8MN2sDwuRZUqOL4FQqFwkTbthXLRUWwcSP88w8kJlasLy/XZgvXZpTFr1AoFHaoVw8OHIA1ayor/hEjtNDQY8cCJ1t1UYpfoVAoHBAWhiUxHMChQ/DLL9pEsPr1AydXdVGKX6FQKNykdWs4eBA++qhC8RuN2lPA889r7qHagPLxKxQKhQe0aKG9zKxZA6tXQ1oaPPBA4OTyhIBY/EKIUUKINCHEfiHEI4GQQaFQKHzB0KHw3Xfw0ksQYjKli4th0iRYsSI4w0Fr3OIXQuiB14ERQAbwpxBiqZRyd03LolAoFNVFp9MqgFmzeDF8/rkWHnrJJYGRyxmBsPj7AvullAellGeBT4CxAZBDoVAo/MLYsZrP/4knKiaJnToFDz8Mhw8HVjYIjI8/CThq9TkD6Ge7kxDiFuAWgBbWDjWFQqEIcho1goceqrzu7be1imE7dmguoEASCItf2FlXxQsmpVwopewtpezdpEmTGhBLoVAo/MfIkVr8/733VqxLT4cPPoCSkpqVJRAWfwbQ3OpzMlCLp0IoFAqFa3r0gA8/rLxu/nx4+WVthvBrr9WcLIGw+P8E2gshWgshwoCrgKUBkEOhUCgCSp8+0LUr3Hhjxbq///Z/kZgat/illGVCiDuB7wE98K6UcldNy6FQKBSB5uqrYcqUigFggKee0rKELvWjORyQCVxSyhVAgIc3FAqFIvBYK30pISkJRo/2b59q5q5CoVAECULA3Ln+70fl6lEoFIo6hlL8CoVCUcdQil+hUCjqGErxKxQKRR1DKX6FQqGoYyjFr1AoFHUMpfgVCoWijqEUv0KhUNQxhAzG8jA2CCFOAAVATqBlcYM4lJy+RMnpW5ScviXY5WwppayS3rhWKH4AIcRfUsregZbDFUpO36Lk9C1KTt9SW+S0Rbl6FAqFoo6hFL9CoVDUMWqT4l8YaAHcRMnpW5ScvkXJ6Vtqi5yVqDU+foVCoVD4htpk8SsUCoXCByjFr1AoFHWMoFf8QohRQog0IcR+IcQjgZbHEUKIdCHEDiHEViHEX4GWx4wQ4l0hRLYQYqfVukZCiB+EEPtM77GBlNEkkz05nxJCZJqu6VYhxKWBlNEkU3MhxBohxB4hxC4hxD2m9UF1TZ3IGVTXVAgRIYT4QwixzSTn06b1wXY9HckZVNfTXYLaxy+E0AN/AyOADLRC7VOklLsDKpgdhBDpQG8pZVBN5hBCDALygfellCmmdS8Ap6SUc0w301gp5cNBKOdTQL6Ucl4gZbNGCJEAJEgpNwsh6gObgHHAdQTRNXUi5ySC6JoKIQQQJaXMF0KEAuuBe4ArCK7r6UjOUQTR9XSXYLf4+wL7pZQHpZRngU+AsQGWqVYhpfwFOGWzeiywyLS8CE0hBBQHcgYdUsrjUsrNpuU8YA+QRJBdUydyBhVSI9/0MdT0kgTf9XQkZ60k2BV/EnDU6nMGQfjjNSGBVUKITUKIWwItjAvipZTHQVMQQNMAy+OMO4UQ202uoIC7pKwRQrQCegAbCeJraiMnBNk1FULohRBbgWzgByllUF5PB3JCkF1Pdwh2xS/srAvWu2x/KWVP4BLgDpPrQlE93gTaAt2B48D/BVQaK4QQ0cCXwL1SyjOBlscRduQMumsqpSyXUnYHkoG+QoiUAItkFwdyBt31dIdgV/wZQHOrz8nAsQDJ4hQp5THTezbwNZqbKljJMvmAzb7g7ADLYxcpZZbpz2YE3iZIrqnJx/sl8JGU8ivT6qC7pvbkDNZrCiClNABr0fzmQXc9zVjLGczX0xnBrvj/BNoLIVoLIcKAq4ClAZapCkKIKNMAGkKIKGAksNP5UQFlKTDdtDwd+CaAsjjE/Mc3MZ4guKamQb53gD1SyhetNgXVNXUkZ7BdUyFEEyFEjGm5HnARsJfgu5525Qy26+kuQR3VA2AKj3oZ0APvSimfCaxEVRFCtEGz8gFCgI+DRU4hxGJgCFr62CxgFrAE+AxoARwBrpRSBnRg1YGcQ9AeoSWQDtxq9vsGCiHEAGAdsAMwmlY/iuY/D5pr6kTOKQTRNRVCpKIN3urRDNHPpJSzhRCNCa7r6UjODwii6+kuQa/4FQqFQuFbgt3Vo1AoFAofoxS/QqFQ1DGU4lcoFIo6hlL8CoVCUcdQil+hUCjqGErx1yJMscTrhRA7hRDjrNZ/I4RIdHDMU0KIB2tMSBcIIR715X7VlGWxaar9fTbrxwkhzrP6vFYIEbQFtYUQrYRVVlMn+1xt9bm3EOIVH/VfbspMmWj6nC6EiLPZJ14IscyU3XK3EGKFEKKrVVbLU0KIQ6bl1aZjegghpBDiYtPnr03b9wshTlsde6EQ4iNTGxN9cU7nOkrx1y6moMUSXwDMBBBCXA5sNs8cDhRCiBA3d3VXoftV8QshmgEXSilTpZQv2WweB5xX9ahaTSvAovillH9JKe/2UdtFUsruLn6Ds9Hy23STUp4HPCKl3GE6rjvahK2Zps8XmY6ZgpYFc4pJ5vGmfW8C1pmPlVL+KqW8hiCc3BmsKMVfuygF6gHhgNGkbO8F5rpzsBCiuxDid5OV+7UQIlYI0VQIscm0vZvJwmph+nxACBFpetL4Ugjxp+nV37T9KSHEQiHEKuB9m74ShBC/mCyynUKIgUKIOUA907qPTPstEVpiu13ClNzOdj9bi1YI8aDQUjYjhLjbZEFuF0J8YuecI4QQ/xNarYQtQoihpk2rgKamPgZa7X8hMAaYa9rW1rTpSqHlY//bvL/QknbNNV2T7UKIW+3030oIsVcIsci0zxdCiEjTtuEmmXYILcFXuGl9uhDieVN/fwgh2pnWv2dt0Qoh8h30t04Isdn0utC0aQ4w0HRO9wkhhgghlpmOaWT6Hrabfh+pVt/vu0J74jkohKjOjSIBLQULAFLK7c52FkIIYCJauuuRQoiIavStsEVKqV615AU0BJYDfwHDgbuB6S6OeQp40LS8HRhsWp4NvGxa3gU0AO5ES5NxDdAS+M20/WNggGm5BVoaAHPbm4B6dvp9AHjMtKwH6puW8232a2R6r4c23b2x7X5o1upOq88PAk+Zlo8B4ablGAdy/M+03AltFmiEbZs2x7wHTLT6vBb4P9PypcBq0/ItwOOm5XDT99Lapq1WaLM6+5s+v2uSPwIt82wH0/r30RKpgTYD1HztpgHLHMiVb3t9gEggwrTcHvjLtDzE3I7tZ+BVYJZpeRiw1er7/dV0bnHASSDUzvWy/U7TgTibdRcDBmAN8BiQ6OKaDwB+tPr9XWFPdmdtqJfjl7L4axFSytNSysuklL2BzcBo4EshxNsmS/ICR8cKIRqiKcafTasWAeYMor8C/U2fnzW9D0Sb8g9aXpLXhJaSdinQQJhyEwFLpZRFdrr8E7jeZJl3lVpOeHvcLYTYBvyOlpCvvdOLUJXtwEdCiKlAmZ3tA4APAKSUe4HDQAcP+wAwJ2PbhKZoQcvJNM10XTYCjbEv/1Ep5QbT8ocmmToCh6SUf5vWW38fAIut3h1+r3YIBd4WQuwAPsc9l5X1NfoJaGz6vQAsl1KWSK3AUDYQ74EsFqSU3wNt0BKZdQK2CCGaODlkClr9DUzvU7zpV2Efd/2yiuDjSeAZtD/EJjSr6BtgqLODHLAOTdG3NLXxMJqVusy0XQdcYKvgtadxCuw1KKX8RWipqS8DPhBCzJVS2rqDhqDdVC6QUhYKIdaiWcK2lFHZLWm9z2VoCnMM8IQQoouU0voGYC+1tzeUmN7LqfjfCOAuk1Jzhm1eFOmGXNLOsuU6mFwhYXaOuw8t11E3077FLvrBgSzmPkus1lmfu8dILdfOx8DHJjfTILTsoZWF0SrvTQDGCCEeM8nXWAhR34kBofAAZfHXQoQQ7dEelX9Ge7Q3ov1RHfpBpZSngVwrf/a1gNn6/wWYCuyTWnrZU2guDbOVugrNDWTuv7sbMrYEsqWUb6Nliexp2lQqtHTBoLmuck1KvxNwvlUT1vtlofnjG5v84KNNfeiA5lLKNcBDQAwQbSPKL2iuK4QQHdBcVWkuxM8D6rvYB+B7YIZZTiFEB6FlZ7WlhdXTmHnAci/Qyuy/p/L3ATDZ6v0303I60Mu0PBbNurelIXDc9D1ei+Zmc3VO1tdoCJAjfVxjQAgxzGpsoz5aDvsjDna/CNgmpWwupWwlpWyJdoMY50uZ6jLK4q+dPIPmJwXNFbAErf7nky6Omw68ZfoDHgSuB5BSppus919M+60HkqWUuabPdwOvCyG2o/1mfgFuc9HXEGCmEKIUrZbuNNP6hcB2IcRm4AbgNlO7aWjuHmz3k1JeI4SYjeZOOYSmNEFTah+a3BICeElqudKtecN0zjvQLObrpJQlpvN1xCdo7pK70QYYHfFfNLfPZpMFfgL7ymkPMF0IsQDYB7wppSwWQlwPfC60Qfo/gbesjgkXQmxEM87Mbo63gW+EEH8AP2L/aesNNPfflWj+dPM+24Eyk1vtPWCL1TFPAf8zfQ+FVKRDrg7bhRDmrKCfoRUpeU0IYX5q+a+U8k8Hx06hItutmS+BGZhcUorqobJzKhR+RGhlD5dJUwF5N49JB3qb/OpBjxAiX0pp+6QVCDneQ7vWXwRalmBHuXoUCkV1OSOsJnAFAqGFBw/GvTGNOo+y+BUKhaKOoSx+hUKhqGMoxa9QKBR1DKX4FQqFoo6hFL9CoVDUMZTiVygUijrG/wPROXbifKW+OgAAAABJRU5ErkJggg==\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#用住房数据拟合多项式回归\n",
    "X = df[['LSTAT']].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "regr = LinearRegression()\n",
    "\n",
    "# create quadratic features\n",
    "quadratic = PolynomialFeatures(degree=2)\n",
    "cubic = PolynomialFeatures(degree=3)\n",
    "X_quad = quadratic.fit_transform(X)\n",
    "X_cubic = cubic.fit_transform(X)\n",
    "\n",
    "# fit features\n",
    "X_fit = np.arange(X.min(), X.max(), 1)[:, np.newaxis]\n",
    "\n",
    "regr = regr.fit(X, y)\n",
    "y_lin_fit = regr.predict(X_fit)\n",
    "linear_r2 = r2_score(y, regr.predict(X))\n",
    "\n",
    "regr = regr.fit(X_quad, y)\n",
    "y_quad_fit = regr.predict(quadratic.fit_transform(X_fit))\n",
    "quadratic_r2 = r2_score(y, regr.predict(X_quad))\n",
    "\n",
    "regr = regr.fit(X_cubic, y)\n",
    "y_cubic_fit = regr.predict(cubic.fit_transform(X_fit))\n",
    "cubic_r2 = r2_score(y, regr.predict(X_cubic))\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X, y, label='training points', color='lightgray')\n",
    "\n",
    "plt.plot(X_fit, y_lin_fit,\n",
    "         label='linear (d=1), $R^2=%.2f$' % linear_r2,\n",
    "         color='blue',\n",
    "         lw=2,\n",
    "         linestyle=':')\n",
    "\n",
    "plt.plot(X_fit, y_quad_fit,\n",
    "         label='quadratic (d=2), $R^2=%.2f$' % quadratic_r2,\n",
    "         color='red',\n",
    "         lw=2,\n",
    "         linestyle='-')\n",
    "\n",
    "plt.plot(X_fit, y_cubic_fit,\n",
    "         label='cubic (d=3), $R^2=%.2f$' % cubic_r2,\n",
    "         color='green',\n",
    "         lw=2,\n",
    "         linestyle='--')\n",
    "\n",
    "plt.xlabel('% lower status of the population [LSTAT]')\n",
    "plt.ylabel('Price in $1000s [MEDV]')\n",
    "plt.legend(loc='upper right')\n",
    "\n",
    "#plt.savefig('images/10_11.png', dpi=300)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#对数变换\n",
    "X = df[['LSTAT']].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "# transform features\n",
    "X_log = np.log(X)\n",
    "y_sqrt = np.sqrt(y)\n",
    "\n",
    "# fit features\n",
    "X_fit = np.arange(X_log.min() - 1, X_log.max() + 1, 1)[:, np.newaxis]\n",
    "\n",
    "regr = regr.fit(X_log, y_sqrt)\n",
    "y_lin_fit = regr.predict(X_fit)\n",
    "linear_r2 = r2_score(y_sqrt, regr.predict(X_log))\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X_log, y_sqrt, label='training points', color='lightgray')\n",
    "\n",
    "plt.plot(X_fit, y_lin_fit,\n",
    "         label='linear (d=1), $R^2=%.2f$' % linear_r2,\n",
    "         color='blue',\n",
    "         lw=2)\n",
    "\n",
    "plt.xlabel('log(% lower status of the population [LSTAT])')\n",
    "plt.ylabel('$\\sqrt{Price \\; in \\; \\$1000s \\; [MEDV]}$')\n",
    "plt.legend(loc='lower left')\n",
    "\n",
    "plt.tight_layout()\n",
    "#plt.savefig('images/10_12.png', dpi=300)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "## 随机森林回归\n",
    "![](picture/决策树回归.png)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeRegressor\n",
    "\n",
    "X = df[['LSTAT']].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "tree = DecisionTreeRegressor(max_depth=3)\n",
    "tree.fit(X, y)\n",
    "\n",
    "sort_idx = X.flatten().argsort()\n",
    "\n",
    "lin_regplot(X[sort_idx], y[sort_idx], tree)\n",
    "plt.xlabel('% lower status of the population [LSTAT]')\n",
    "plt.ylabel('Price in $1000s [MEDV]')\n",
    "#plt.savefig('images/10_13.png', dpi=300)\n",
    "plt.show()\n",
    "#正如在结果图中所看到的，决策树捕获了数据中的基本趋势。然而，这种模式的一个局限是它并不捕获所需预测的连续性和可微性。此外，在选择树的深度值时要小心，既要确保不过拟合也要避免欠拟合。这里深度为3似乎是个不错的选择："
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/apple/opt/anaconda3/envs/Deep-Learning/lib/python3.10/site-packages/sklearn/ensemble/_forest.py:396: FutureWarning: Criterion 'mse' was deprecated in v1.0 and will be removed in version 1.2. Use `criterion='squared_error'` which is equivalent.\n",
      "  warn(\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE train: 1.644, test: 11.085\n",
      "R^2 train: 0.979, test: 0.877\n"
     ]
    }
   ],
   "source": [
    "#随机森林回归\n",
    "from sklearn.ensemble import RandomForestRegressor\n",
    "\n",
    "X = df.iloc[:, :-1].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    X, y, test_size=0.4, random_state=1)\n",
    "\n",
    "forest = RandomForestRegressor(n_estimators=1000,\n",
    "                               criterion='mse',\n",
    "                               random_state=1,\n",
    "                               n_jobs=-1)\n",
    "forest.fit(X_train, y_train)\n",
    "y_train_pred = forest.predict(X_train)\n",
    "y_test_pred = forest.predict(X_test)\n",
    "\n",
    "print('MSE train: %.3f, test: %.3f' % (\n",
    "    mean_squared_error(y_train, y_train_pred),\n",
    "    mean_squared_error(y_test, y_test_pred)))\n",
    "print('R^2 train: %.3f, test: %.3f' % (\n",
    "    r2_score(y_train, y_train_pred),\n",
    "    r2_score(y_test, y_test_pred)))"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(y_train_pred,\n",
    "            y_train_pred - y_train,\n",
    "            c='steelblue',\n",
    "            edgecolor='white',\n",
    "            marker='o',\n",
    "            s=35,\n",
    "            alpha=0.9,\n",
    "            label='training data')\n",
    "plt.scatter(y_test_pred,\n",
    "            y_test_pred - y_test,\n",
    "            c='limegreen',\n",
    "            edgecolor='white',\n",
    "            marker='s',\n",
    "            s=35,\n",
    "            alpha=0.9,\n",
    "            label='test data')\n",
    "\n",
    "plt.xlabel('Predicted values')\n",
    "plt.ylabel('Residuals')\n",
    "plt.legend(loc='upper left')\n",
    "plt.hlines(y=0, xmin=-10, xmax=50, lw=2, color='black')\n",
    "plt.xlim([-10, 50])\n",
    "plt.tight_layout()\n",
    "\n",
    "# plt.savefig('images/10_14.png', dpi=300)\n",
    "plt.show()"
   ],
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    "### 本章开篇学习了如何构建简单的线性回归模型，以分析单个解释变量和连续响应变量之间的关系。然后讨论了一种有用的解释数据分析技术，以查看数据中的模式和异常，这是在预测建模任务中迈出的重要的第一步。我们采用基于梯度的优化方法实现线性回归建立了第一个模型。然后看到了如何把scikit-learn线性模型用于回归，实现用于处理离群情况的稳健回归方法（RANSAC）。为了评估回归模型的预测性能，我们计算了平均误差平方和以及相关的R2度量。此外，还讨论了判断回归模型问题的图解方法：残差图。之后我们讨论了如何把正则化方法应用于回归模型以降低模型复杂度，同时避免过拟合。然后介绍了为非线性关系建模的几种方法，包括多项式特征变换和随机森林回归。"
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   "source": [],
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